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Finding the Fourth Proportional to 61,328.31, 91,926.84 and 31,716.33

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Solution

The fourth proportional to 61,328.31, 91,926.84 and 31,716.33 is: 47,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,328.31 : 91,926.84 = 31,716.33 : x
  2. Step 2: Convert to fraction form
    61,328.31/91,926.84 = 31,716.33/x
  3. Step 3: Cross multiply
    61,328.31x = 91,926.84 × 31,716.33
  4. Step 4: Simplify right side
    61,328.31x = 2,915,581,993.30
  5. Step 5: Solve for x
    x = 2,915,581,993.30/61,328.31
  6. Step 6: Final answer
    x = 47,540.56

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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.