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Finding the Fourth Proportional to 38,631.92, 53,302.91 and 21,864.92

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Solution

The fourth proportional to 38,631.92, 53,302.91 and 21,864.92 is: 30,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,631.92 : 53,302.91 = 21,864.92 : x
  2. Step 2: Convert to fraction form
    38,631.92/53,302.91 = 21,864.92/x
  3. Step 3: Cross multiply
    38,631.92x = 53,302.91 × 21,864.92
  4. Step 4: Simplify right side
    38,631.92x = 1,165,464,050.84
  5. Step 5: Solve for x
    x = 1,165,464,050.84/38,631.92
  6. Step 6: Final answer
    x = 30,168.42

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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.