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Finding the Fourth Proportional to 32,287.18, 48,431.86 and 8,913.82

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Solution

The fourth proportional to 32,287.18, 48,431.86 and 8,913.82 is: 13,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,287.18 : 48,431.86 = 8,913.82 : x
  2. Step 2: Convert to fraction form
    32,287.18/48,431.86 = 8,913.82/x
  3. Step 3: Cross multiply
    32,287.18x = 48,431.86 × 8,913.82
  4. Step 4: Simplify right side
    32,287.18x = 431,712,882.31
  5. Step 5: Solve for x
    x = 431,712,882.31/32,287.18
  6. Step 6: Final answer
    x = 13,371.03

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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.