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Finding the Fourth Proportional to 55,291.98, 82,937.70 and 15,849.30

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Solution

The fourth proportional to 55,291.98, 82,937.70 and 15,849.30 is: 23,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291.98 : 82,937.70 = 15,849.30 : x
  2. Step 2: Convert to fraction form
    55,291.98/82,937.70 = 15,849.30/x
  3. Step 3: Cross multiply
    55,291.98x = 82,937.70 × 15,849.30
  4. Step 4: Simplify right side
    55,291.98x = 1,314,504,488.61
  5. Step 5: Solve for x
    x = 1,314,504,488.61/55,291.98
  6. Step 6: Final answer
    x = 23,773.87

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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.