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Finding the Fourth Proportional to 38,225.66, 52,753.17 and 21,229.98

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Solution

The fourth proportional to 38,225.66, 52,753.17 and 21,229.98 is: 29,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,225.66 : 52,753.17 = 21,229.98 : x
  2. Step 2: Convert to fraction form
    38,225.66/52,753.17 = 21,229.98/x
  3. Step 3: Cross multiply
    38,225.66x = 52,753.17 × 21,229.98
  4. Step 4: Simplify right side
    38,225.66x = 1,119,948,744.04
  5. Step 5: Solve for x
    x = 1,119,948,744.04/38,225.66
  6. Step 6: Final answer
    x = 29,298.35

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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.