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Finding the Fourth Proportional to 99,655.75, 137,524.95 and 54,943.75

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Solution

The fourth proportional to 99,655.75, 137,524.95 and 54,943.75 is: 75,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,655.75 : 137,524.95 = 54,943.75 : x
  2. Step 2: Convert to fraction form
    99,655.75/137,524.95 = 54,943.75/x
  3. Step 3: Cross multiply
    99,655.75x = 137,524.95 × 54,943.75
  4. Step 4: Simplify right side
    99,655.75x = 7,556,136,471.56
  5. Step 5: Solve for x
    x = 7,556,136,471.56/99,655.75
  6. Step 6: Final answer
    x = 75,822.38

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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.