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Finding the Fourth Proportional to 55,202.65, 82,739.17 and 25,557.87

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Solution

The fourth proportional to 55,202.65, 82,739.17 and 25,557.87 is: 38,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,202.65 : 82,739.17 = 25,557.87 : x
  2. Step 2: Convert to fraction form
    55,202.65/82,739.17 = 25,557.87/x
  3. Step 3: Cross multiply
    55,202.65x = 82,739.17 × 25,557.87
  4. Step 4: Simplify right side
    55,202.65x = 2,114,636,950.77
  5. Step 5: Solve for x
    x = 2,114,636,950.77/55,202.65
  6. Step 6: Final answer
    x = 38,306.80

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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.