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Finding the Fourth Proportional to 57,710.13, 86,572.07 and 17,723.83

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Solution

The fourth proportional to 57,710.13, 86,572.07 and 17,723.83 is: 26,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710.13 : 86,572.07 = 17,723.83 : x
  2. Step 2: Convert to fraction form
    57,710.13/86,572.07 = 17,723.83/x
  3. Step 3: Cross multiply
    57,710.13x = 86,572.07 × 17,723.83
  4. Step 4: Simplify right side
    57,710.13x = 1,534,388,651.43
  5. Step 5: Solve for x
    x = 1,534,388,651.43/57,710.13
  6. Step 6: Final answer
    x = 26,587.86

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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.