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Finding the Fourth Proportional to 57,813.62, 86,726.19 and 15,694.39

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Solution

The fourth proportional to 57,813.62, 86,726.19 and 15,694.39 is: 23,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,813.62 : 86,726.19 = 15,694.39 : x
  2. Step 2: Convert to fraction form
    57,813.62/86,726.19 = 15,694.39/x
  3. Step 3: Cross multiply
    57,813.62x = 86,726.19 × 15,694.39
  4. Step 4: Simplify right side
    57,813.62x = 1,361,114,215.44
  5. Step 5: Solve for x
    x = 1,361,114,215.44/57,813.62
  6. Step 6: Final answer
    x = 23,543.14

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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.