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Finding the Fourth Proportional to 74,141.38, 102,314.60 and 40,149.09

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Solution

The fourth proportional to 74,141.38, 102,314.60 and 40,149.09 is: 55,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,141.38 : 102,314.60 = 40,149.09 : x
  2. Step 2: Convert to fraction form
    74,141.38/102,314.60 = 40,149.09/x
  3. Step 3: Cross multiply
    74,141.38x = 102,314.60 × 40,149.09
  4. Step 4: Simplify right side
    74,141.38x = 4,107,838,140.01
  5. Step 5: Solve for x
    x = 4,107,838,140.01/74,141.38
  6. Step 6: Final answer
    x = 55,405.47

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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.