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Finding the Fourth Proportional to 38,046.96, 52,509.24 and 22,132.08

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Solution

The fourth proportional to 38,046.96, 52,509.24 and 22,132.08 is: 30,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046.96 : 52,509.24 = 22,132.08 : x
  2. Step 2: Convert to fraction form
    38,046.96/52,509.24 = 22,132.08/x
  3. Step 3: Cross multiply
    38,046.96x = 52,509.24 × 22,132.08
  4. Step 4: Simplify right side
    38,046.96x = 1,162,138,700.42
  5. Step 5: Solve for x
    x = 1,162,138,700.42/38,046.96
  6. Step 6: Final answer
    x = 30,544.85

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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.