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Finding the Fourth Proportional to 78,384.58, 108,111.45 and 54,499.30

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Solution

The fourth proportional to 78,384.58, 108,111.45 and 54,499.30 is: 75,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.58 : 108,111.45 = 54,499.30 : x
  2. Step 2: Convert to fraction form
    78,384.58/108,111.45 = 54,499.30/x
  3. Step 3: Cross multiply
    78,384.58x = 108,111.45 × 54,499.30
  4. Step 4: Simplify right side
    78,384.58x = 5,891,998,346.99
  5. Step 5: Solve for x
    x = 5,891,998,346.99/78,384.58
  6. Step 6: Final answer
    x = 75,167.82

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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.