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Finding the Fourth Proportional to 27,175.79, 40,763.71 and 7,454.50

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Solution

The fourth proportional to 27,175.79, 40,763.71 and 7,454.50 is: 11,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.79 : 40,763.71 = 7,454.50 : x
  2. Step 2: Convert to fraction form
    27,175.79/40,763.71 = 7,454.50/x
  3. Step 3: Cross multiply
    27,175.79x = 40,763.71 × 7,454.50
  4. Step 4: Simplify right side
    27,175.79x = 303,873,076.20
  5. Step 5: Solve for x
    x = 303,873,076.20/27,175.79
  6. Step 6: Final answer
    x = 11,181.76

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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.