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Finding the Fourth Proportional to 57,034.08, 78,710.02 and 34,380.26

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Solution

The fourth proportional to 57,034.08, 78,710.02 and 34,380.26 is: 47,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034.08 : 78,710.02 = 34,380.26 : x
  2. Step 2: Convert to fraction form
    57,034.08/78,710.02 = 34,380.26/x
  3. Step 3: Cross multiply
    57,034.08x = 78,710.02 × 34,380.26
  4. Step 4: Simplify right side
    57,034.08x = 2,706,070,952.21
  5. Step 5: Solve for x
    x = 2,706,070,952.21/57,034.08
  6. Step 6: Final answer
    x = 47,446.56

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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.