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Finding the Fourth Proportional to 83,101.60, 124,695.60 and 36,359.20

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Solution

The fourth proportional to 83,101.60, 124,695.60 and 36,359.20 is: 54,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.60 : 124,695.60 = 36,359.20 : x
  2. Step 2: Convert to fraction form
    83,101.60/124,695.60 = 36,359.20/x
  3. Step 3: Cross multiply
    83,101.60x = 124,695.60 × 36,359.20
  4. Step 4: Simplify right side
    83,101.60x = 4,533,832,259.52
  5. Step 5: Solve for x
    x = 4,533,832,259.52/83,101.60
  6. Step 6: Final answer
    x = 54,557.70

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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.