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Finding the Fourth Proportional to 52,654.70, 78,961.79 and 41,432.12

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Solution

The fourth proportional to 52,654.70, 78,961.79 and 41,432.12 is: 62,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,654.70 : 78,961.79 = 41,432.12 : x
  2. Step 2: Convert to fraction form
    52,654.70/78,961.79 = 41,432.12/x
  3. Step 3: Cross multiply
    52,654.70x = 78,961.79 × 41,432.12
  4. Step 4: Simplify right side
    52,654.70x = 3,271,554,358.69
  5. Step 5: Solve for x
    x = 3,271,554,358.69/52,654.70
  6. Step 6: Final answer
    x = 62,132.24

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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.