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Finding the Fourth Proportional to 83,173.26, 114,739.10 and 54,480.53

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Solution

The fourth proportional to 83,173.26, 114,739.10 and 54,480.53 is: 75,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,173.26 : 114,739.10 = 54,480.53 : x
  2. Step 2: Convert to fraction form
    83,173.26/114,739.10 = 54,480.53/x
  3. Step 3: Cross multiply
    83,173.26x = 114,739.10 × 54,480.53
  4. Step 4: Simplify right side
    83,173.26x = 6,251,047,198.47
  5. Step 5: Solve for x
    x = 6,251,047,198.47/83,173.26
  6. Step 6: Final answer
    x = 75,156.93

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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.