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Finding the Fourth Proportional to 55,342, 83,012.19 and 25,743.25

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Solution

The fourth proportional to 55,342, 83,012.19 and 25,743.25 is: 38,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,342 : 83,012.19 = 25,743.25 : x
  2. Step 2: Convert to fraction form
    55,342/83,012.19 = 25,743.25/x
  3. Step 3: Cross multiply
    55,342x = 83,012.19 × 25,743.25
  4. Step 4: Simplify right side
    55,342x = 2,137,003,560.22
  5. Step 5: Solve for x
    x = 2,137,003,560.22/55,342
  6. Step 6: Final answer
    x = 38,614.50

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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.