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Finding the Fourth Proportional to 83,224.10, 124,849.48 and 27,059.88

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Solution

The fourth proportional to 83,224.10, 124,849.48 and 27,059.88 is: 40,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.10 : 124,849.48 = 27,059.88 : x
  2. Step 2: Convert to fraction form
    83,224.10/124,849.48 = 27,059.88/x
  3. Step 3: Cross multiply
    83,224.10x = 124,849.48 × 27,059.88
  4. Step 4: Simplify right side
    83,224.10x = 3,378,411,946.86
  5. Step 5: Solve for x
    x = 3,378,411,946.86/83,224.10
  6. Step 6: Final answer
    x = 40,594.15

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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.