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Finding the Fourth Proportional to 32,217.39, 48,326.36 and 10,029.87

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Solution

The fourth proportional to 32,217.39, 48,326.36 and 10,029.87 is: 15,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,217.39 : 48,326.36 = 10,029.87 : x
  2. Step 2: Convert to fraction form
    32,217.39/48,326.36 = 10,029.87/x
  3. Step 3: Cross multiply
    32,217.39x = 48,326.36 × 10,029.87
  4. Step 4: Simplify right side
    32,217.39x = 484,707,058.22
  5. Step 5: Solve for x
    x = 484,707,058.22/32,217.39
  6. Step 6: Final answer
    x = 15,044.89

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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.