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Finding the Fourth Proportional to 47,882, 71,836.68 and 16,299

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Solution

The fourth proportional to 47,882, 71,836.68 and 16,299 is: 24,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882 : 71,836.68 = 16,299 : x
  2. Step 2: Convert to fraction form
    47,882/71,836.68 = 16,299/x
  3. Step 3: Cross multiply
    47,882x = 71,836.68 × 16,299
  4. Step 4: Simplify right side
    47,882x = 1,170,866,047.32
  5. Step 5: Solve for x
    x = 1,170,866,047.32/47,882
  6. Step 6: Final answer
    x = 24,453.16

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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.