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Finding the Fourth Proportional to 49,663.80, 74,301.30 and 32,167.80

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Solution

The fourth proportional to 49,663.80, 74,301.30 and 32,167.80 is: 48,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663.80 : 74,301.30 = 32,167.80 : x
  2. Step 2: Convert to fraction form
    49,663.80/74,301.30 = 32,167.80/x
  3. Step 3: Cross multiply
    49,663.80x = 74,301.30 × 32,167.80
  4. Step 4: Simplify right side
    49,663.80x = 2,390,109,358.14
  5. Step 5: Solve for x
    x = 2,390,109,358.14/49,663.80
  6. Step 6: Final answer
    x = 48,125.78

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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.