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Finding the Fourth Proportional to 71,081.76, 106,535.20 and 24,280

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Solution

The fourth proportional to 71,081.76, 106,535.20 and 24,280 is: 36,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,081.76 : 106,535.20 = 24,280 : x
  2. Step 2: Convert to fraction form
    71,081.76/106,535.20 = 24,280/x
  3. Step 3: Cross multiply
    71,081.76x = 106,535.20 × 24,280
  4. Step 4: Simplify right side
    71,081.76x = 2,586,674,656
  5. Step 5: Solve for x
    x = 2,586,674,656/71,081.76
  6. Step 6: Final answer
    x = 36,390.13

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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.