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Finding the Fourth Proportional to 32,137.47, 48,198.33 and 13,417.66

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Solution

The fourth proportional to 32,137.47, 48,198.33 and 13,417.66 is: 20,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.47 : 48,198.33 = 13,417.66 : x
  2. Step 2: Convert to fraction form
    32,137.47/48,198.33 = 13,417.66/x
  3. Step 3: Cross multiply
    32,137.47x = 48,198.33 × 13,417.66
  4. Step 4: Simplify right side
    32,137.47x = 646,708,717.56
  5. Step 5: Solve for x
    x = 646,708,717.56/32,137.47
  6. Step 6: Final answer
    x = 20,123.20

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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.