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Finding the Fourth Proportional to 38,042.66, 52,510.17 and 24,613.57

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Solution

The fourth proportional to 38,042.66, 52,510.17 and 24,613.57 is: 33,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042.66 : 52,510.17 = 24,613.57 : x
  2. Step 2: Convert to fraction form
    38,042.66/52,510.17 = 24,613.57/x
  3. Step 3: Cross multiply
    38,042.66x = 52,510.17 × 24,613.57
  4. Step 4: Simplify right side
    38,042.66x = 1,292,462,902.95
  5. Step 5: Solve for x
    x = 1,292,462,902.95/38,042.66
  6. Step 6: Final answer
    x = 33,974.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.