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Finding the Fourth Proportional to 70,698.38, 106,020.63 and 31,233.96

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Solution

The fourth proportional to 70,698.38, 106,020.63 and 31,233.96 is: 46,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698.38 : 106,020.63 = 31,233.96 : x
  2. Step 2: Convert to fraction form
    70,698.38/106,020.63 = 31,233.96/x
  3. Step 3: Cross multiply
    70,698.38x = 106,020.63 × 31,233.96
  4. Step 4: Simplify right side
    70,698.38x = 3,311,444,116.59
  5. Step 5: Solve for x
    x = 3,311,444,116.59/70,698.38
  6. Step 6: Final answer
    x = 46,839.04

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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.