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Finding the Fourth Proportional to 54,502.54, 75,234.06 and 31,848.90

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Solution

The fourth proportional to 54,502.54, 75,234.06 and 31,848.90 is: 43,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.54 : 75,234.06 = 31,848.90 : x
  2. Step 2: Convert to fraction form
    54,502.54/75,234.06 = 31,848.90/x
  3. Step 3: Cross multiply
    54,502.54x = 75,234.06 × 31,848.90
  4. Step 4: Simplify right side
    54,502.54x = 2,396,122,053.53
  5. Step 5: Solve for x
    x = 2,396,122,053.53/54,502.54
  6. Step 6: Final answer
    x = 43,963.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.