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Finding the Fourth Proportional to 71,119.80, 106,694.28 and 24,376.32

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Solution

The fourth proportional to 71,119.80, 106,694.28 and 24,376.32 is: 36,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,119.80 : 106,694.28 = 24,376.32 : x
  2. Step 2: Convert to fraction form
    71,119.80/106,694.28 = 24,376.32/x
  3. Step 3: Cross multiply
    71,119.80x = 106,694.28 × 24,376.32
  4. Step 4: Simplify right side
    71,119.80x = 2,600,813,911.45
  5. Step 5: Solve for x
    x = 2,600,813,911.45/71,119.80
  6. Step 6: Final answer
    x = 36,569.48

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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.