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Finding the Fourth Proportional to 76,610.80, 114,916.20 and 24,024.52

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Solution

The fourth proportional to 76,610.80, 114,916.20 and 24,024.52 is: 36,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,610.80 : 114,916.20 = 24,024.52 : x
  2. Step 2: Convert to fraction form
    76,610.80/114,916.20 = 24,024.52/x
  3. Step 3: Cross multiply
    76,610.80x = 114,916.20 × 24,024.52
  4. Step 4: Simplify right side
    76,610.80x = 2,760,806,545.22
  5. Step 5: Solve for x
    x = 2,760,806,545.22/76,610.80
  6. Step 6: Final answer
    x = 36,036.78

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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.