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Finding the Fourth Proportional to 102,922.48, 154,382.10 and 32,800.78

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Solution

The fourth proportional to 102,922.48, 154,382.10 and 32,800.78 is: 49,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,922.48 : 154,382.10 = 32,800.78 : x
  2. Step 2: Convert to fraction form
    102,922.48/154,382.10 = 32,800.78/x
  3. Step 3: Cross multiply
    102,922.48x = 154,382.10 × 32,800.78
  4. Step 4: Simplify right side
    102,922.48x = 5,063,853,298.04
  5. Step 5: Solve for x
    x = 5,063,853,298.04/102,922.48
  6. Step 6: Final answer
    x = 49,200.65

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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.