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Finding the Fourth Proportional to 32,178.06, 44,405.70 and 18,031.02

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Solution

The fourth proportional to 32,178.06, 44,405.70 and 18,031.02 is: 24,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.06 : 44,405.70 = 18,031.02 : x
  2. Step 2: Convert to fraction form
    32,178.06/44,405.70 = 18,031.02/x
  3. Step 3: Cross multiply
    32,178.06x = 44,405.70 × 18,031.02
  4. Step 4: Simplify right side
    32,178.06x = 800,680,064.81
  5. Step 5: Solve for x
    x = 800,680,064.81/32,178.06
  6. Step 6: Final answer
    x = 24,882.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.