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Finding the Fourth Proportional to 32,016.77, 48,031.38 and 12,293.88

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Solution

The fourth proportional to 32,016.77, 48,031.38 and 12,293.88 is: 18,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.77 : 48,031.38 = 12,293.88 : x
  2. Step 2: Convert to fraction form
    32,016.77/48,031.38 = 12,293.88/x
  3. Step 3: Cross multiply
    32,016.77x = 48,031.38 × 12,293.88
  4. Step 4: Simplify right side
    32,016.77x = 590,491,841.84
  5. Step 5: Solve for x
    x = 590,491,841.84/32,016.77
  6. Step 6: Final answer
    x = 18,443.21

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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.