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Finding the Fourth Proportional to 57,710.66, 86,569.14 and 18,264.83

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Solution

The fourth proportional to 57,710.66, 86,569.14 and 18,264.83 is: 27,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710.66 : 86,569.14 = 18,264.83 : x
  2. Step 2: Convert to fraction form
    57,710.66/86,569.14 = 18,264.83/x
  3. Step 3: Cross multiply
    57,710.66x = 86,569.14 × 18,264.83
  4. Step 4: Simplify right side
    57,710.66x = 1,581,170,625.35
  5. Step 5: Solve for x
    x = 1,581,170,625.35/57,710.66
  6. Step 6: Final answer
    x = 27,398.24

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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.