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Finding the Fourth Proportional to 38,074.44, 52,566.54 and 24,468

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Solution

The fourth proportional to 38,074.44, 52,566.54 and 24,468 is: 33,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074.44 : 52,566.54 = 24,468 : x
  2. Step 2: Convert to fraction form
    38,074.44/52,566.54 = 24,468/x
  3. Step 3: Cross multiply
    38,074.44x = 52,566.54 × 24,468
  4. Step 4: Simplify right side
    38,074.44x = 1,286,198,100.72
  5. Step 5: Solve for x
    x = 1,286,198,100.72/38,074.44
  6. Step 6: Final answer
    x = 33,781.14

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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.