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Finding the Fourth Proportional to 83,453.44, 115,175.44 and 47,648.64

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Solution

The fourth proportional to 83,453.44, 115,175.44 and 47,648.64 is: 65,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,453.44 : 115,175.44 = 47,648.64 : x
  2. Step 2: Convert to fraction form
    83,453.44/115,175.44 = 47,648.64/x
  3. Step 3: Cross multiply
    83,453.44x = 115,175.44 × 47,648.64
  4. Step 4: Simplify right side
    83,453.44x = 5,487,953,077.40
  5. Step 5: Solve for x
    x = 5,487,953,077.40/83,453.44
  6. Step 6: Final answer
    x = 65,760.66

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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.