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Finding the Fourth Proportional to 38,294.32, 52,848.84 and 22,380.52

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Solution

The fourth proportional to 38,294.32, 52,848.84 and 22,380.52 is: 30,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,294.32 : 52,848.84 = 22,380.52 : x
  2. Step 2: Convert to fraction form
    38,294.32/52,848.84 = 22,380.52/x
  3. Step 3: Cross multiply
    38,294.32x = 52,848.84 × 22,380.52
  4. Step 4: Simplify right side
    38,294.32x = 1,182,784,520.60
  5. Step 5: Solve for x
    x = 1,182,784,520.60/38,294.32
  6. Step 6: Final answer
    x = 30,886.68

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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.