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Finding the Fourth Proportional to 73,937.66, 102,034.23 and 40,404.38

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Solution

The fourth proportional to 73,937.66, 102,034.23 and 40,404.38 is: 55,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,937.66 : 102,034.23 = 40,404.38 : x
  2. Step 2: Convert to fraction form
    73,937.66/102,034.23 = 40,404.38/x
  3. Step 3: Cross multiply
    73,937.66x = 102,034.23 × 40,404.38
  4. Step 4: Simplify right side
    73,937.66x = 4,122,629,801.93
  5. Step 5: Solve for x
    x = 4,122,629,801.93/73,937.66
  6. Step 6: Final answer
    x = 55,758.19

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Why These Related Problems?

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