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Finding the Fourth Proportional to 103,862.97, 155,732.13 and 47,632.62

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Solution

The fourth proportional to 103,862.97, 155,732.13 and 47,632.62 is: 71,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,862.97 : 155,732.13 = 47,632.62 : x
  2. Step 2: Convert to fraction form
    103,862.97/155,732.13 = 47,632.62/x
  3. Step 3: Cross multiply
    103,862.97x = 155,732.13 × 47,632.62
  4. Step 4: Simplify right side
    103,862.97x = 7,417,929,370.08
  5. Step 5: Solve for x
    x = 7,417,929,370.08/103,862.97
  6. Step 6: Final answer
    x = 71,420.35

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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.