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Finding the Fourth Proportional to 73,702.74, 101,710.12 and 41,873.38

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Solution

The fourth proportional to 73,702.74, 101,710.12 and 41,873.38 is: 57,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.74 : 101,710.12 = 41,873.38 : x
  2. Step 2: Convert to fraction form
    73,702.74/101,710.12 = 41,873.38/x
  3. Step 3: Cross multiply
    73,702.74x = 101,710.12 × 41,873.38
  4. Step 4: Simplify right side
    73,702.74x = 4,258,946,504.61
  5. Step 5: Solve for x
    x = 4,258,946,504.61/73,702.74
  6. Step 6: Final answer
    x = 57,785.46

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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.