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Finding the Fourth Proportional to 71,011.36, 106,490.16 and 24,255.52

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Solution

The fourth proportional to 71,011.36, 106,490.16 and 24,255.52 is: 36,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,011.36 : 106,490.16 = 24,255.52 : x
  2. Step 2: Convert to fraction form
    71,011.36/106,490.16 = 24,255.52/x
  3. Step 3: Cross multiply
    71,011.36x = 106,490.16 × 24,255.52
  4. Step 4: Simplify right side
    71,011.36x = 2,582,974,205.68
  5. Step 5: Solve for x
    x = 2,582,974,205.68/71,011.36
  6. Step 6: Final answer
    x = 36,374.10

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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.