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Finding the Fourth Proportional to 81,064.38, 111,870.74 and 50,850.98

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Solution

The fourth proportional to 81,064.38, 111,870.74 and 50,850.98 is: 70,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,064.38 : 111,870.74 = 50,850.98 : x
  2. Step 2: Convert to fraction form
    81,064.38/111,870.74 = 50,850.98/x
  3. Step 3: Cross multiply
    81,064.38x = 111,870.74 × 50,850.98
  4. Step 4: Simplify right side
    81,064.38x = 5,688,735,948.72
  5. Step 5: Solve for x
    x = 5,688,735,948.72/81,064.38
  6. Step 6: Final answer
    x = 70,175.53

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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.