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Finding the Fourth Proportional to 74,743.84, 103,146.60 and 41,209.84

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Solution

The fourth proportional to 74,743.84, 103,146.60 and 41,209.84 is: 56,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,743.84 : 103,146.60 = 41,209.84 : x
  2. Step 2: Convert to fraction form
    74,743.84/103,146.60 = 41,209.84/x
  3. Step 3: Cross multiply
    74,743.84x = 103,146.60 × 41,209.84
  4. Step 4: Simplify right side
    74,743.84x = 4,250,654,882.54
  5. Step 5: Solve for x
    x = 4,250,654,882.54/74,743.84
  6. Step 6: Final answer
    x = 56,869.63

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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.