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Finding the Fourth Proportional to 32,232.52, 48,346.62 and 8,857

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Solution

The fourth proportional to 32,232.52, 48,346.62 and 8,857 is: 13,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232.52 : 48,346.62 = 8,857 : x
  2. Step 2: Convert to fraction form
    32,232.52/48,346.62 = 8,857/x
  3. Step 3: Cross multiply
    32,232.52x = 48,346.62 × 8,857
  4. Step 4: Simplify right side
    32,232.52x = 428,206,013.34
  5. Step 5: Solve for x
    x = 428,206,013.34/32,232.52
  6. Step 6: Final answer
    x = 13,284.91

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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.