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Finding the Fourth Proportional to 38,774.57, 58,162.14 and 21,234.83

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Solution

The fourth proportional to 38,774.57, 58,162.14 and 21,234.83 is: 31,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.57 : 58,162.14 = 21,234.83 : x
  2. Step 2: Convert to fraction form
    38,774.57/58,162.14 = 21,234.83/x
  3. Step 3: Cross multiply
    38,774.57x = 58,162.14 × 21,234.83
  4. Step 4: Simplify right side
    38,774.57x = 1,235,062,864.53
  5. Step 5: Solve for x
    x = 1,235,062,864.53/38,774.57
  6. Step 6: Final answer
    x = 31,852.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.