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Finding the Fourth Proportional to 91,802, 137,694.36 and 29,473.04

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Solution

The fourth proportional to 91,802, 137,694.36 and 29,473.04 is: 44,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,802 : 137,694.36 = 29,473.04 : x
  2. Step 2: Convert to fraction form
    91,802/137,694.36 = 29,473.04/x
  3. Step 3: Cross multiply
    91,802x = 137,694.36 × 29,473.04
  4. Step 4: Simplify right side
    91,802x = 4,058,271,380.05
  5. Step 5: Solve for x
    x = 4,058,271,380.05/91,802
  6. Step 6: Final answer
    x = 44,206.79

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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.