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Finding the Fourth Proportional to 78,759.50, 118,193.98 and 32,012.42

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Solution

The fourth proportional to 78,759.50, 118,193.98 and 32,012.42 is: 48,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,759.50 : 118,193.98 = 32,012.42 : x
  2. Step 2: Convert to fraction form
    78,759.50/118,193.98 = 32,012.42/x
  3. Step 3: Cross multiply
    78,759.50x = 118,193.98 × 32,012.42
  4. Step 4: Simplify right side
    78,759.50x = 3,783,675,329.23
  5. Step 5: Solve for x
    x = 3,783,675,329.23/78,759.50
  6. Step 6: Final answer
    x = 48,040.88

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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.