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Finding the Fourth Proportional to 74,614.71, 102,965.18 and 41,078.55

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Solution

The fourth proportional to 74,614.71, 102,965.18 and 41,078.55 is: 56,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.71 : 102,965.18 = 41,078.55 : x
  2. Step 2: Convert to fraction form
    74,614.71/102,965.18 = 41,078.55/x
  3. Step 3: Cross multiply
    74,614.71x = 102,965.18 × 41,078.55
  4. Step 4: Simplify right side
    74,614.71x = 4,229,659,780.06
  5. Step 5: Solve for x
    x = 4,229,659,780.06/74,614.71
  6. Step 6: Final answer
    x = 56,686.68

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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.