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Finding the Fourth Proportional to 74,123.90, 102,291.05 and 40,132.41

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Solution

The fourth proportional to 74,123.90, 102,291.05 and 40,132.41 is: 55,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,123.90 : 102,291.05 = 40,132.41 : x
  2. Step 2: Convert to fraction form
    74,123.90/102,291.05 = 40,132.41/x
  3. Step 3: Cross multiply
    74,123.90x = 102,291.05 × 40,132.41
  4. Step 4: Simplify right side
    74,123.90x = 4,105,186,357.93
  5. Step 5: Solve for x
    x = 4,105,186,357.93/74,123.90
  6. Step 6: Final answer
    x = 55,382.76

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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.