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Finding the Fourth Proportional to 55,876.57, 83,814.14 and 13,757.18

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Solution

The fourth proportional to 55,876.57, 83,814.14 and 13,757.18 is: 20,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876.57 : 83,814.14 = 13,757.18 : x
  2. Step 2: Convert to fraction form
    55,876.57/83,814.14 = 13,757.18/x
  3. Step 3: Cross multiply
    55,876.57x = 83,814.14 × 13,757.18
  4. Step 4: Simplify right side
    55,876.57x = 1,153,045,825.85
  5. Step 5: Solve for x
    x = 1,153,045,825.85/55,876.57
  6. Step 6: Final answer
    x = 20,635.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.