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Finding the Fourth Proportional to 57,184.50, 78,941.97 and 38,096.25

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Solution

The fourth proportional to 57,184.50, 78,941.97 and 38,096.25 is: 52,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184.50 : 78,941.97 = 38,096.25 : x
  2. Step 2: Convert to fraction form
    57,184.50/78,941.97 = 38,096.25/x
  3. Step 3: Cross multiply
    57,184.50x = 78,941.97 × 38,096.25
  4. Step 4: Simplify right side
    57,184.50x = 3,007,393,024.61
  5. Step 5: Solve for x
    x = 3,007,393,024.61/57,184.50
  6. Step 6: Final answer
    x = 52,591.05

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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.