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Finding the Fourth Proportional to 41,780.56, 57,664.55 and 24,794.17

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Solution

The fourth proportional to 41,780.56, 57,664.55 and 24,794.17 is: 34,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780.56 : 57,664.55 = 24,794.17 : x
  2. Step 2: Convert to fraction form
    41,780.56/57,664.55 = 24,794.17/x
  3. Step 3: Cross multiply
    41,780.56x = 57,664.55 × 24,794.17
  4. Step 4: Simplify right side
    41,780.56x = 1,429,744,655.67
  5. Step 5: Solve for x
    x = 1,429,744,655.67/41,780.56
  6. Step 6: Final answer
    x = 34,220.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.