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Finding the Fourth Proportional to 32,231.52, 48,345.12 and 8,856

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Solution

The fourth proportional to 32,231.52, 48,345.12 and 8,856 is: 13,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.52 : 48,345.12 = 8,856 : x
  2. Step 2: Convert to fraction form
    32,231.52/48,345.12 = 8,856/x
  3. Step 3: Cross multiply
    32,231.52x = 48,345.12 × 8,856
  4. Step 4: Simplify right side
    32,231.52x = 428,144,382.72
  5. Step 5: Solve for x
    x = 428,144,382.72/32,231.52
  6. Step 6: Final answer
    x = 13,283.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.