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Finding the Fourth Proportional to 57,180.57, 78,909.21 and 34,824.57

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Solution

The fourth proportional to 57,180.57, 78,909.21 and 34,824.57 is: 48,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180.57 : 78,909.21 = 34,824.57 : x
  2. Step 2: Convert to fraction form
    57,180.57/78,909.21 = 34,824.57/x
  3. Step 3: Cross multiply
    57,180.57x = 78,909.21 × 34,824.57
  4. Step 4: Simplify right side
    57,180.57x = 2,747,979,307.29
  5. Step 5: Solve for x
    x = 2,747,979,307.29/57,180.57
  6. Step 6: Final answer
    x = 48,057.92

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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.