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Finding the Fourth Proportional to 61,766.31, 85,237.50 and 33,472

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Solution

The fourth proportional to 61,766.31, 85,237.50 and 33,472 is: 46,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,766.31 : 85,237.50 = 33,472 : x
  2. Step 2: Convert to fraction form
    61,766.31/85,237.50 = 33,472/x
  3. Step 3: Cross multiply
    61,766.31x = 85,237.50 × 33,472
  4. Step 4: Simplify right side
    61,766.31x = 2,853,069,600
  5. Step 5: Solve for x
    x = 2,853,069,600/61,766.31
  6. Step 6: Final answer
    x = 46,191.36

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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.