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Finding the Fourth Proportional to 32,569.78, 48,853.86 and 9,195.88

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Solution

The fourth proportional to 32,569.78, 48,853.86 and 9,195.88 is: 13,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,569.78 : 48,853.86 = 9,195.88 : x
  2. Step 2: Convert to fraction form
    32,569.78/48,853.86 = 9,195.88/x
  3. Step 3: Cross multiply
    32,569.78x = 48,853.86 × 9,195.88
  4. Step 4: Simplify right side
    32,569.78x = 449,254,234.10
  5. Step 5: Solve for x
    x = 449,254,234.10/32,569.78
  6. Step 6: Final answer
    x = 13,793.59

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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.