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Finding the Fourth Proportional to 78,382.58, 108,108.69 and 54,497.30

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Solution

The fourth proportional to 78,382.58, 108,108.69 and 54,497.30 is: 75,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.58 : 108,108.69 = 54,497.30 : x
  2. Step 2: Convert to fraction form
    78,382.58/108,108.69 = 54,497.30/x
  3. Step 3: Cross multiply
    78,382.58x = 108,108.69 × 54,497.30
  4. Step 4: Simplify right side
    78,382.58x = 5,891,631,711.54
  5. Step 5: Solve for x
    x = 5,891,631,711.54/78,382.58
  6. Step 6: Final answer
    x = 75,165.06

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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.