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Finding the Fourth Proportional to 51,461.16, 76,847.97 and 43,987.56

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Solution

The fourth proportional to 51,461.16, 76,847.97 and 43,987.56 is: 65,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,461.16 : 76,847.97 = 43,987.56 : x
  2. Step 2: Convert to fraction form
    51,461.16/76,847.97 = 43,987.56/x
  3. Step 3: Cross multiply
    51,461.16x = 76,847.97 × 43,987.56
  4. Step 4: Simplify right side
    51,461.16x = 3,380,354,691.25
  5. Step 5: Solve for x
    x = 3,380,354,691.25/51,461.16
  6. Step 6: Final answer
    x = 65,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.