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Finding the Fourth Proportional to 74,150.72, 102,327.48 and 40,158.42

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Solution

The fourth proportional to 74,150.72, 102,327.48 and 40,158.42 is: 55,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,150.72 : 102,327.48 = 40,158.42 : x
  2. Step 2: Convert to fraction form
    74,150.72/102,327.48 = 40,158.42/x
  3. Step 3: Cross multiply
    74,150.72x = 102,327.48 × 40,158.42
  4. Step 4: Simplify right side
    74,150.72x = 4,109,309,919.38
  5. Step 5: Solve for x
    x = 4,109,309,919.38/74,150.72
  6. Step 6: Final answer
    x = 55,418.35

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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.