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Finding the Fourth Proportional to 74,042.38, 102,178.55 and 40,508.38

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Solution

The fourth proportional to 74,042.38, 102,178.55 and 40,508.38 is: 55,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,042.38 : 102,178.55 = 40,508.38 : x
  2. Step 2: Convert to fraction form
    74,042.38/102,178.55 = 40,508.38/x
  3. Step 3: Cross multiply
    74,042.38x = 102,178.55 × 40,508.38
  4. Step 4: Simplify right side
    74,042.38x = 4,139,087,531.25
  5. Step 5: Solve for x
    x = 4,139,087,531.25/74,042.38
  6. Step 6: Final answer
    x = 55,901.60

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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.