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Finding the Fourth Proportional to 61,687, 92,543.46 and 24,751

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Solution

The fourth proportional to 61,687, 92,543.46 and 24,751 is: 37,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,687 : 92,543.46 = 24,751 : x
  2. Step 2: Convert to fraction form
    61,687/92,543.46 = 24,751/x
  3. Step 3: Cross multiply
    61,687x = 92,543.46 × 24,751
  4. Step 4: Simplify right side
    61,687x = 2,290,543,178.46
  5. Step 5: Solve for x
    x = 2,290,543,178.46/61,687
  6. Step 6: Final answer
    x = 37,131.70

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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.