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Finding the Fourth Proportional to 38,307, 52,863.14 and 21,540.04

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Solution

The fourth proportional to 38,307, 52,863.14 and 21,540.04 is: 29,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,307 : 52,863.14 = 21,540.04 : x
  2. Step 2: Convert to fraction form
    38,307/52,863.14 = 21,540.04/x
  3. Step 3: Cross multiply
    38,307x = 52,863.14 × 21,540.04
  4. Step 4: Simplify right side
    38,307x = 1,138,674,150.13
  5. Step 5: Solve for x
    x = 1,138,674,150.13/38,307
  6. Step 6: Final answer
    x = 29,724.96

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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.