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Finding the Fourth Proportional to 70,830.87, 106,212.42 and 41,257.14

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Solution

The fourth proportional to 70,830.87, 106,212.42 and 41,257.14 is: 61,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830.87 : 106,212.42 = 41,257.14 : x
  2. Step 2: Convert to fraction form
    70,830.87/106,212.42 = 41,257.14/x
  3. Step 3: Cross multiply
    70,830.87x = 106,212.42 × 41,257.14
  4. Step 4: Simplify right side
    70,830.87x = 4,382,020,681.68
  5. Step 5: Solve for x
    x = 4,382,020,681.68/70,830.87
  6. Step 6: Final answer
    x = 61,865.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.