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Finding the Fourth Proportional to 38,321.92, 52,871.88 and 24,904

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Solution

The fourth proportional to 38,321.92, 52,871.88 and 24,904 is: 34,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,321.92 : 52,871.88 = 24,904 : x
  2. Step 2: Convert to fraction form
    38,321.92/52,871.88 = 24,904/x
  3. Step 3: Cross multiply
    38,321.92x = 52,871.88 × 24,904
  4. Step 4: Simplify right side
    38,321.92x = 1,316,721,299.52
  5. Step 5: Solve for x
    x = 1,316,721,299.52/38,321.92
  6. Step 6: Final answer
    x = 34,359.48

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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.