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Finding the Fourth Proportional to 73,719.76, 101,735.88 and 41,890

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Solution

The fourth proportional to 73,719.76, 101,735.88 and 41,890 is: 57,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,719.76 : 101,735.88 = 41,890 : x
  2. Step 2: Convert to fraction form
    73,719.76/101,735.88 = 41,890/x
  3. Step 3: Cross multiply
    73,719.76x = 101,735.88 × 41,890
  4. Step 4: Simplify right side
    73,719.76x = 4,261,716,013.20
  5. Step 5: Solve for x
    x = 4,261,716,013.20/73,719.76
  6. Step 6: Final answer
    x = 57,809.68

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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.