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Finding the Fourth Proportional to 73,702.41, 101,708.79 and 41,871.30

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Solution

The fourth proportional to 73,702.41, 101,708.79 and 41,871.30 is: 57,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.41 : 101,708.79 = 41,871.30 : x
  2. Step 2: Convert to fraction form
    73,702.41/101,708.79 = 41,871.30/x
  3. Step 3: Cross multiply
    73,702.41x = 101,708.79 × 41,871.30
  4. Step 4: Simplify right side
    73,702.41x = 4,258,679,258.73
  5. Step 5: Solve for x
    x = 4,258,679,258.73/73,702.41
  6. Step 6: Final answer
    x = 57,782.09

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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.