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Finding the Fourth Proportional to 71,209.80, 106,816.86 and 24,462

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Solution

The fourth proportional to 71,209.80, 106,816.86 and 24,462 is: 36,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.80 : 106,816.86 = 24,462 : x
  2. Step 2: Convert to fraction form
    71,209.80/106,816.86 = 24,462/x
  3. Step 3: Cross multiply
    71,209.80x = 106,816.86 × 24,462
  4. Step 4: Simplify right side
    71,209.80x = 2,612,954,029.32
  5. Step 5: Solve for x
    x = 2,612,954,029.32/71,209.80
  6. Step 6: Final answer
    x = 36,693.74

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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.