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Finding the Fourth Proportional to 73,699.92, 101,706.24 and 41,870.57

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Solution

The fourth proportional to 73,699.92, 101,706.24 and 41,870.57 is: 57,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,699.92 : 101,706.24 = 41,870.57 : x
  2. Step 2: Convert to fraction form
    73,699.92/101,706.24 = 41,870.57/x
  3. Step 3: Cross multiply
    73,699.92x = 101,706.24 × 41,870.57
  4. Step 4: Simplify right side
    73,699.92x = 4,258,497,732.83
  5. Step 5: Solve for x
    x = 4,258,497,732.83/73,699.92
  6. Step 6: Final answer
    x = 57,781.58

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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.