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Finding the Fourth Proportional to 38,230.31, 52,765.58 and 22,098.30

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Solution

The fourth proportional to 38,230.31, 52,765.58 and 22,098.30 is: 30,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.31 : 52,765.58 = 22,098.30 : x
  2. Step 2: Convert to fraction form
    38,230.31/52,765.58 = 22,098.30/x
  3. Step 3: Cross multiply
    38,230.31x = 52,765.58 × 22,098.30
  4. Step 4: Simplify right side
    38,230.31x = 1,166,029,506.02
  5. Step 5: Solve for x
    x = 1,166,029,506.02/38,230.31
  6. Step 6: Final answer
    x = 30,500.14

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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.