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Finding the Fourth Proportional to 78,454.13, 117,614.85 and 34,047.50

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Solution

The fourth proportional to 78,454.13, 117,614.85 and 34,047.50 is: 51,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,454.13 : 117,614.85 = 34,047.50 : x
  2. Step 2: Convert to fraction form
    78,454.13/117,614.85 = 34,047.50/x
  3. Step 3: Cross multiply
    78,454.13x = 117,614.85 × 34,047.50
  4. Step 4: Simplify right side
    78,454.13x = 4,004,491,017.30
  5. Step 5: Solve for x
    x = 4,004,491,017.30/78,454.13
  6. Step 6: Final answer
    x = 51,042.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.