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Finding the Fourth Proportional to 38,456.92, 53,061.48 and 23,349.28

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Solution

The fourth proportional to 38,456.92, 53,061.48 and 23,349.28 is: 32,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.92 : 53,061.48 = 23,349.28 : x
  2. Step 2: Convert to fraction form
    38,456.92/53,061.48 = 23,349.28/x
  3. Step 3: Cross multiply
    38,456.92x = 53,061.48 × 23,349.28
  4. Step 4: Simplify right side
    38,456.92x = 1,238,947,353.73
  5. Step 5: Solve for x
    x = 1,238,947,353.73/38,456.92
  6. Step 6: Final answer
    x = 32,216.50

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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.