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Finding the Fourth Proportional to 83,454.71, 125,105.72 and 36,040.14

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Solution

The fourth proportional to 83,454.71, 125,105.72 and 36,040.14 is: 54,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,454.71 : 125,105.72 = 36,040.14 : x
  2. Step 2: Convert to fraction form
    83,454.71/125,105.72 = 36,040.14/x
  3. Step 3: Cross multiply
    83,454.71x = 125,105.72 × 36,040.14
  4. Step 4: Simplify right side
    83,454.71x = 4,508,827,483.40
  5. Step 5: Solve for x
    x = 4,508,827,483.40/83,454.71
  6. Step 6: Final answer
    x = 54,027.24

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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.