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Finding the Fourth Proportional to 78,546.92, 108,359.52 and 53,045

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Solution

The fourth proportional to 78,546.92, 108,359.52 and 53,045 is: 73,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546.92 : 108,359.52 = 53,045 : x
  2. Step 2: Convert to fraction form
    78,546.92/108,359.52 = 53,045/x
  3. Step 3: Cross multiply
    78,546.92x = 108,359.52 × 53,045
  4. Step 4: Simplify right side
    78,546.92x = 5,747,930,738.40
  5. Step 5: Solve for x
    x = 5,747,930,738.40/78,546.92
  6. Step 6: Final answer
    x = 73,178.31

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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.