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Finding the Fourth Proportional to 38,114.90, 52,597.13 and 21,982.88

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Solution

The fourth proportional to 38,114.90, 52,597.13 and 21,982.88 is: 30,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.90 : 52,597.13 = 21,982.88 : x
  2. Step 2: Convert to fraction form
    38,114.90/52,597.13 = 21,982.88/x
  3. Step 3: Cross multiply
    38,114.90x = 52,597.13 × 21,982.88
  4. Step 4: Simplify right side
    38,114.90x = 1,156,236,189.11
  5. Step 5: Solve for x
    x = 1,156,236,189.11/38,114.90
  6. Step 6: Final answer
    x = 30,335.55

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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.