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Finding the Fourth Proportional to 65,251,792.32, 97,877,683.02 and 31,069,507.20

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Solution

The fourth proportional to 65,251,792.32, 97,877,683.02 and 31,069,507.20 is: 46,604,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251,792.32 : 97,877,683.02 = 31,069,507.20 : x
  2. Step 2: Convert to fraction form
    65,251,792.32/97,877,683.02 = 31,069,507.20/x
  3. Step 3: Cross multiply
    65,251,792.32x = 97,877,683.02 × 31,069,507.20
  4. Step 4: Simplify right side
    65,251,792.32x = 3,041,011,377,309,207.50
  5. Step 5: Solve for x
    x = 3,041,011,377,309,207.50/65,251,792.32
  6. Step 6: Final answer
    x = 46,604,258.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.