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Finding the Fourth Proportional to 75,817.31, 113,489.31 and 55,849.31

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Solution

The fourth proportional to 75,817.31, 113,489.31 and 55,849.31 is: 83,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,817.31 : 113,489.31 = 55,849.31 : x
  2. Step 2: Convert to fraction form
    75,817.31/113,489.31 = 55,849.31/x
  3. Step 3: Cross multiply
    75,817.31x = 113,489.31 × 55,849.31
  4. Step 4: Simplify right side
    75,817.31x = 6,338,299,655.88
  5. Step 5: Solve for x
    x = 6,338,299,655.88/75,817.31
  6. Step 6: Final answer
    x = 83,599.64

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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.