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Finding the Fourth Proportional to 54,451.48, 81,677.24 and 15,009

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Solution

The fourth proportional to 54,451.48, 81,677.24 and 15,009 is: 22,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,451.48 : 81,677.24 = 15,009 : x
  2. Step 2: Convert to fraction form
    54,451.48/81,677.24 = 15,009/x
  3. Step 3: Cross multiply
    54,451.48x = 81,677.24 × 15,009
  4. Step 4: Simplify right side
    54,451.48x = 1,225,893,695.16
  5. Step 5: Solve for x
    x = 1,225,893,695.16/54,451.48
  6. Step 6: Final answer
    x = 22,513.51

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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.