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Finding the Fourth Proportional to 38,348.28, 52,920 and 21,581.28

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Solution

The fourth proportional to 38,348.28, 52,920 and 21,581.28 is: 29,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348.28 : 52,920 = 21,581.28 : x
  2. Step 2: Convert to fraction form
    38,348.28/52,920 = 21,581.28/x
  3. Step 3: Cross multiply
    38,348.28x = 52,920 × 21,581.28
  4. Step 4: Simplify right side
    38,348.28x = 1,142,081,337.60
  5. Step 5: Solve for x
    x = 1,142,081,337.60/38,348.28
  6. Step 6: Final answer
    x = 29,781.81

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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.