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Finding the Fourth Proportional to 52,815, 79,229.52 and 24,731.22

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Solution

The fourth proportional to 52,815, 79,229.52 and 24,731.22 is: 37,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,815 : 79,229.52 = 24,731.22 : x
  2. Step 2: Convert to fraction form
    52,815/79,229.52 = 24,731.22/x
  3. Step 3: Cross multiply
    52,815x = 79,229.52 × 24,731.22
  4. Step 4: Simplify right side
    52,815x = 1,959,442,689.61
  5. Step 5: Solve for x
    x = 1,959,442,689.61/52,815
  6. Step 6: Final answer
    x = 37,100.12

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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.