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Finding the Fourth Proportional to 48,217.84, 66,540.72 and 26,998

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Solution

The fourth proportional to 48,217.84, 66,540.72 and 26,998 is: 37,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,217.84 : 66,540.72 = 26,998 : x
  2. Step 2: Convert to fraction form
    48,217.84/66,540.72 = 26,998/x
  3. Step 3: Cross multiply
    48,217.84x = 66,540.72 × 26,998
  4. Step 4: Simplify right side
    48,217.84x = 1,796,466,358.56
  5. Step 5: Solve for x
    x = 1,796,466,358.56/48,217.84
  6. Step 6: Final answer
    x = 37,257.30

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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.