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Finding the Fourth Proportional to 83,314.68, 124,946.08 and 24,154.44

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Solution

The fourth proportional to 83,314.68, 124,946.08 and 24,154.44 is: 36,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,314.68 : 124,946.08 = 24,154.44 : x
  2. Step 2: Convert to fraction form
    83,314.68/124,946.08 = 24,154.44/x
  3. Step 3: Cross multiply
    83,314.68x = 124,946.08 × 24,154.44
  4. Step 4: Simplify right side
    83,314.68x = 3,018,002,592.60
  5. Step 5: Solve for x
    x = 3,018,002,592.60/83,314.68
  6. Step 6: Final answer
    x = 36,224.14

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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.