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Finding the Fourth Proportional to 61,454.60, 92,138.70 and 24,000.20

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Solution

The fourth proportional to 61,454.60, 92,138.70 and 24,000.20 is: 35,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,454.60 : 92,138.70 = 24,000.20 : x
  2. Step 2: Convert to fraction form
    61,454.60/92,138.70 = 24,000.20/x
  3. Step 3: Cross multiply
    61,454.60x = 92,138.70 × 24,000.20
  4. Step 4: Simplify right side
    61,454.60x = 2,211,347,227.74
  5. Step 5: Solve for x
    x = 2,211,347,227.74/61,454.60
  6. Step 6: Final answer
    x = 35,983.43

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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.