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Finding the Fourth Proportional to 47,449.80, 71,179.56 and 16,281

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Solution

The fourth proportional to 47,449.80, 71,179.56 and 16,281 is: 24,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,449.80 : 71,179.56 = 16,281 : x
  2. Step 2: Convert to fraction form
    47,449.80/71,179.56 = 16,281/x
  3. Step 3: Cross multiply
    47,449.80x = 71,179.56 × 16,281
  4. Step 4: Simplify right side
    47,449.80x = 1,158,874,416.36
  5. Step 5: Solve for x
    x = 1,158,874,416.36/47,449.80
  6. Step 6: Final answer
    x = 24,423.17

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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.