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Finding the Fourth Proportional to 47,842.98, 66,098.22 and 36,552

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Solution

The fourth proportional to 47,842.98, 66,098.22 and 36,552 is: 50,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842.98 : 66,098.22 = 36,552 : x
  2. Step 2: Convert to fraction form
    47,842.98/66,098.22 = 36,552/x
  3. Step 3: Cross multiply
    47,842.98x = 66,098.22 × 36,552
  4. Step 4: Simplify right side
    47,842.98x = 2,416,022,137.44
  5. Step 5: Solve for x
    x = 2,416,022,137.44/47,842.98
  6. Step 6: Final answer
    x = 50,498.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.