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Finding the Fourth Proportional to 57,200.76, 78,942.25 and 34,551

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Solution

The fourth proportional to 57,200.76, 78,942.25 and 34,551 is: 47,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.76 : 78,942.25 = 34,551 : x
  2. Step 2: Convert to fraction form
    57,200.76/78,942.25 = 34,551/x
  3. Step 3: Cross multiply
    57,200.76x = 78,942.25 × 34,551
  4. Step 4: Simplify right side
    57,200.76x = 2,727,533,679.75
  5. Step 5: Solve for x
    x = 2,727,533,679.75/57,200.76
  6. Step 6: Final answer
    x = 47,683.52

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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.