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Finding the Fourth Proportional to 27,175.84, 40,763.82 and 7,454.68

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Solution

The fourth proportional to 27,175.84, 40,763.82 and 7,454.68 is: 11,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.84 : 40,763.82 = 7,454.68 : x
  2. Step 2: Convert to fraction form
    27,175.84/40,763.82 = 7,454.68/x
  3. Step 3: Cross multiply
    27,175.84x = 40,763.82 × 7,454.68
  4. Step 4: Simplify right side
    27,175.84x = 303,881,233.68
  5. Step 5: Solve for x
    x = 303,881,233.68/27,175.84
  6. Step 6: Final answer
    x = 11,182.04

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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.