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Finding the Fourth Proportional to 55,817.88, 83,726.82 and 16,375.14

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Solution

The fourth proportional to 55,817.88, 83,726.82 and 16,375.14 is: 24,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,817.88 : 83,726.82 = 16,375.14 : x
  2. Step 2: Convert to fraction form
    55,817.88/83,726.82 = 16,375.14/x
  3. Step 3: Cross multiply
    55,817.88x = 83,726.82 × 16,375.14
  4. Step 4: Simplify right side
    55,817.88x = 1,371,038,399.25
  5. Step 5: Solve for x
    x = 1,371,038,399.25/55,817.88
  6. Step 6: Final answer
    x = 24,562.71

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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.