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Finding the Fourth Proportional to 65,196.70, 97,859.85 and 31,954.30

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Solution

The fourth proportional to 65,196.70, 97,859.85 and 31,954.30 is: 47,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.70 : 97,859.85 = 31,954.30 : x
  2. Step 2: Convert to fraction form
    65,196.70/97,859.85 = 31,954.30/x
  3. Step 3: Cross multiply
    65,196.70x = 97,859.85 × 31,954.30
  4. Step 4: Simplify right side
    65,196.70x = 3,127,043,004.86
  5. Step 5: Solve for x
    x = 3,127,043,004.86/65,196.70
  6. Step 6: Final answer
    x = 47,963.21

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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.