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Finding the Fourth Proportional to 47,778.75, 71,668.13 and 16,614

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Solution

The fourth proportional to 47,778.75, 71,668.13 and 16,614 is: 24,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,778.75 : 71,668.13 = 16,614 : x
  2. Step 2: Convert to fraction form
    47,778.75/71,668.13 = 16,614/x
  3. Step 3: Cross multiply
    47,778.75x = 71,668.13 × 16,614
  4. Step 4: Simplify right side
    47,778.75x = 1,190,694,228.75
  5. Step 5: Solve for x
    x = 1,190,694,228.75/47,778.75
  6. Step 6: Final answer
    x = 24,921

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.