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Finding the Fourth Proportional to 65,157.40, 97,737.92 and 23,031.53

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Solution

The fourth proportional to 65,157.40, 97,737.92 and 23,031.53 is: 34,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157.40 : 97,737.92 = 23,031.53 : x
  2. Step 2: Convert to fraction form
    65,157.40/97,737.92 = 23,031.53/x
  3. Step 3: Cross multiply
    65,157.40x = 97,737.92 × 23,031.53
  4. Step 4: Simplify right side
    65,157.40x = 2,251,053,836.62
  5. Step 5: Solve for x
    x = 2,251,053,836.62/65,157.40
  6. Step 6: Final answer
    x = 34,547.94

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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.