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Finding the Fourth Proportional to 34,512.68, 51,719.80 and 27,460.96

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Solution

The fourth proportional to 34,512.68, 51,719.80 and 27,460.96 is: 41,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512.68 : 51,719.80 = 27,460.96 : x
  2. Step 2: Convert to fraction form
    34,512.68/51,719.80 = 27,460.96/x
  3. Step 3: Cross multiply
    34,512.68x = 51,719.80 × 27,460.96
  4. Step 4: Simplify right side
    34,512.68x = 1,420,275,359.01
  5. Step 5: Solve for x
    x = 1,420,275,359.01/34,512.68
  6. Step 6: Final answer
    x = 41,152.28

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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.