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Finding the Fourth Proportional to 32,016.72, 48,031.29 and 12,293.76

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Solution

The fourth proportional to 32,016.72, 48,031.29 and 12,293.76 is: 18,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.72 : 48,031.29 = 12,293.76 : x
  2. Step 2: Convert to fraction form
    32,016.72/48,031.29 = 12,293.76/x
  3. Step 3: Cross multiply
    32,016.72x = 48,031.29 × 12,293.76
  4. Step 4: Simplify right side
    32,016.72x = 590,485,151.75
  5. Step 5: Solve for x
    x = 590,485,151.75/32,016.72
  6. Step 6: Final answer
    x = 18,443.02

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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.