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Finding the Fourth Proportional to 39,546.46, 54,574.12 and 21,641.47

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Solution

The fourth proportional to 39,546.46, 54,574.12 and 21,641.47 is: 29,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546.46 : 54,574.12 = 21,641.47 : x
  2. Step 2: Convert to fraction form
    39,546.46/54,574.12 = 21,641.47/x
  3. Step 3: Cross multiply
    39,546.46x = 54,574.12 × 21,641.47
  4. Step 4: Simplify right side
    39,546.46x = 1,181,063,799.68
  5. Step 5: Solve for x
    x = 1,181,063,799.68/39,546.46
  6. Step 6: Final answer
    x = 29,865.22

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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.