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Finding the Fourth Proportional to 73,701.74, 101,708.74 and 41,872.38

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Solution

The fourth proportional to 73,701.74, 101,708.74 and 41,872.38 is: 57,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,701.74 : 101,708.74 = 41,872.38 : x
  2. Step 2: Convert to fraction form
    73,701.74/101,708.74 = 41,872.38/x
  3. Step 3: Cross multiply
    73,701.74x = 101,708.74 × 41,872.38
  4. Step 4: Simplify right side
    73,701.74x = 4,258,787,010.60
  5. Step 5: Solve for x
    x = 4,258,787,010.60/73,701.74
  6. Step 6: Final answer
    x = 57,784.08

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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.