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Finding the Fourth Proportional to 54,502.48, 81,724.92 and 28,202.32

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Solution

The fourth proportional to 54,502.48, 81,724.92 and 28,202.32 is: 42,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.48 : 81,724.92 = 28,202.32 : x
  2. Step 2: Convert to fraction form
    54,502.48/81,724.92 = 28,202.32/x
  3. Step 3: Cross multiply
    54,502.48x = 81,724.92 × 28,202.32
  4. Step 4: Simplify right side
    54,502.48x = 2,304,832,345.81
  5. Step 5: Solve for x
    x = 2,304,832,345.81/54,502.48
  6. Step 6: Final answer
    x = 42,288.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.