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Finding the Fourth Proportional to 73,701.11, 101,707.87 and 41,871.76

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Solution

The fourth proportional to 73,701.11, 101,707.87 and 41,871.76 is: 57,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,701.11 : 101,707.87 = 41,871.76 : x
  2. Step 2: Convert to fraction form
    73,701.11/101,707.87 = 41,871.76/x
  3. Step 3: Cross multiply
    73,701.11x = 101,707.87 × 41,871.76
  4. Step 4: Simplify right side
    73,701.11x = 4,258,687,522.75
  5. Step 5: Solve for x
    x = 4,258,687,522.75/73,701.11
  6. Step 6: Final answer
    x = 57,783.22

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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.