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Finding the Fourth Proportional to 51,177, 70,542.48 and 34,147.56

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Solution

The fourth proportional to 51,177, 70,542.48 and 34,147.56 is: 47,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,177 : 70,542.48 = 34,147.56 : x
  2. Step 2: Convert to fraction form
    51,177/70,542.48 = 34,147.56/x
  3. Step 3: Cross multiply
    51,177x = 70,542.48 × 34,147.56
  4. Step 4: Simplify right side
    51,177x = 2,408,853,568.35
  5. Step 5: Solve for x
    x = 2,408,853,568.35/51,177
  6. Step 6: Final answer
    x = 47,069.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.