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Finding the Fourth Proportional to 73,758.42, 110,637.54 and 18,354.42

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Solution

The fourth proportional to 73,758.42, 110,637.54 and 18,354.42 is: 27,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,758.42 : 110,637.54 = 18,354.42 : x
  2. Step 2: Convert to fraction form
    73,758.42/110,637.54 = 18,354.42/x
  3. Step 3: Cross multiply
    73,758.42x = 110,637.54 × 18,354.42
  4. Step 4: Simplify right side
    73,758.42x = 2,030,687,876.93
  5. Step 5: Solve for x
    x = 2,030,687,876.93/73,758.42
  6. Step 6: Final answer
    x = 27,531.61

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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.