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Finding the Fourth Proportional to 73,524, 109,949.58 and 54,816.78

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Solution

The fourth proportional to 73,524, 109,949.58 and 54,816.78 is: 81,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,524 : 109,949.58 = 54,816.78 : x
  2. Step 2: Convert to fraction form
    73,524/109,949.58 = 54,816.78/x
  3. Step 3: Cross multiply
    73,524x = 109,949.58 × 54,816.78
  4. Step 4: Simplify right side
    73,524x = 6,027,081,937.95
  5. Step 5: Solve for x
    x = 6,027,081,937.95/73,524
  6. Step 6: Final answer
    x = 81,974.35

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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.