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Finding the Fourth Proportional to 73,818.88, 110,742.90 and 27,072.16

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Solution

The fourth proportional to 73,818.88, 110,742.90 and 27,072.16 is: 40,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,818.88 : 110,742.90 = 27,072.16 : x
  2. Step 2: Convert to fraction form
    73,818.88/110,742.90 = 27,072.16/x
  3. Step 3: Cross multiply
    73,818.88x = 110,742.90 × 27,072.16
  4. Step 4: Simplify right side
    73,818.88x = 2,998,049,129.29
  5. Step 5: Solve for x
    x = 2,998,049,129.29/73,818.88
  6. Step 6: Final answer
    x = 40,613.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.