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Finding the Fourth Proportional to 38,041.14, 52,505.10 and 22,134.78

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Solution

The fourth proportional to 38,041.14, 52,505.10 and 22,134.78 is: 30,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,041.14 : 52,505.10 = 22,134.78 : x
  2. Step 2: Convert to fraction form
    38,041.14/52,505.10 = 22,134.78/x
  3. Step 3: Cross multiply
    38,041.14x = 52,505.10 × 22,134.78
  4. Step 4: Simplify right side
    38,041.14x = 1,162,188,837.38
  5. Step 5: Solve for x
    x = 1,162,188,837.38/38,041.14
  6. Step 6: Final answer
    x = 30,550.84

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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.