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Finding the Fourth Proportional to 27,098.46, 40,648.41 and 7,377.42

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Solution

The fourth proportional to 27,098.46, 40,648.41 and 7,377.42 is: 11,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.46 : 40,648.41 = 7,377.42 : x
  2. Step 2: Convert to fraction form
    27,098.46/40,648.41 = 7,377.42/x
  3. Step 3: Cross multiply
    27,098.46x = 40,648.41 × 7,377.42
  4. Step 4: Simplify right side
    27,098.46x = 299,880,392.90
  5. Step 5: Solve for x
    x = 299,880,392.90/27,098.46
  6. Step 6: Final answer
    x = 11,066.33

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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.