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Finding the Fourth Proportional to 57,102.57, 78,807.94 and 34,452.54

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Solution

The fourth proportional to 57,102.57, 78,807.94 and 34,452.54 is: 47,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.57 : 78,807.94 = 34,452.54 : x
  2. Step 2: Convert to fraction form
    57,102.57/78,807.94 = 34,452.54/x
  3. Step 3: Cross multiply
    57,102.57x = 78,807.94 × 34,452.54
  4. Step 4: Simplify right side
    57,102.57x = 2,715,133,619.04
  5. Step 5: Solve for x
    x = 2,715,133,619.04/57,102.57
  6. Step 6: Final answer
    x = 47,548.36

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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.