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Finding the Fourth Proportional to 74,312.52, 102,549.88 and 42,046.80

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Solution

The fourth proportional to 74,312.52, 102,549.88 and 42,046.80 is: 58,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,312.52 : 102,549.88 = 42,046.80 : x
  2. Step 2: Convert to fraction form
    74,312.52/102,549.88 = 42,046.80/x
  3. Step 3: Cross multiply
    74,312.52x = 102,549.88 × 42,046.80
  4. Step 4: Simplify right side
    74,312.52x = 4,311,894,294.38
  5. Step 5: Solve for x
    x = 4,311,894,294.38/74,312.52
  6. Step 6: Final answer
    x = 58,023.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.