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Finding the Fourth Proportional to 75,652.88, 113,446.49 and 25,719.56

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Solution

The fourth proportional to 75,652.88, 113,446.49 and 25,719.56 is: 38,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,652.88 : 113,446.49 = 25,719.56 : x
  2. Step 2: Convert to fraction form
    75,652.88/113,446.49 = 25,719.56/x
  3. Step 3: Cross multiply
    75,652.88x = 113,446.49 × 25,719.56
  4. Step 4: Simplify right side
    75,652.88x = 2,917,793,806.34
  5. Step 5: Solve for x
    x = 2,917,793,806.34/75,652.88
  6. Step 6: Final answer
    x = 38,568.18

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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.