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Finding the Fourth Proportional to 32,013.39, 48,022.65 and 8,639.49

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Solution

The fourth proportional to 32,013.39, 48,022.65 and 8,639.49 is: 12,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.39 : 48,022.65 = 8,639.49 : x
  2. Step 2: Convert to fraction form
    32,013.39/48,022.65 = 8,639.49/x
  3. Step 3: Cross multiply
    32,013.39x = 48,022.65 × 8,639.49
  4. Step 4: Simplify right side
    32,013.39x = 414,891,204.45
  5. Step 5: Solve for x
    x = 414,891,204.45/32,013.39
  6. Step 6: Final answer
    x = 12,959.93

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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.