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Finding the Fourth Proportional to 32,034.34, 48,031.62 and 13,327.48

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Solution

The fourth proportional to 32,034.34, 48,031.62 and 13,327.48 is: 19,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.34 : 48,031.62 = 13,327.48 : x
  2. Step 2: Convert to fraction form
    32,034.34/48,031.62 = 13,327.48/x
  3. Step 3: Cross multiply
    32,034.34x = 48,031.62 × 13,327.48
  4. Step 4: Simplify right side
    32,034.34x = 640,140,454.92
  5. Step 5: Solve for x
    x = 640,140,454.92/32,034.34
  6. Step 6: Final answer
    x = 19,982.95

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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.