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Finding the Fourth Proportional to 55,970.32, 83,974.92 and 24,827.44

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Solution

The fourth proportional to 55,970.32, 83,974.92 and 24,827.44 is: 37,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970.32 : 83,974.92 = 24,827.44 : x
  2. Step 2: Convert to fraction form
    55,970.32/83,974.92 = 24,827.44/x
  3. Step 3: Cross multiply
    55,970.32x = 83,974.92 × 24,827.44
  4. Step 4: Simplify right side
    55,970.32x = 2,084,882,287.80
  5. Step 5: Solve for x
    x = 2,084,882,287.80/55,970.32
  6. Step 6: Final answer
    x = 37,249.78

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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.