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Finding the Fourth Proportional to 102,038.92, 153,059.93 and 38,862.55

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Solution

The fourth proportional to 102,038.92, 153,059.93 and 38,862.55 is: 58,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,038.92 : 153,059.93 = 38,862.55 : x
  2. Step 2: Convert to fraction form
    102,038.92/153,059.93 = 38,862.55/x
  3. Step 3: Cross multiply
    102,038.92x = 153,059.93 × 38,862.55
  4. Step 4: Simplify right side
    102,038.92x = 5,948,298,897.13
  5. Step 5: Solve for x
    x = 5,948,298,897.13/102,038.92
  6. Step 6: Final answer
    x = 58,294.41

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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.