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Finding the Fourth Proportional to 72,972.75, 100,702.41 and 39,438.75

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Solution

The fourth proportional to 72,972.75, 100,702.41 and 39,438.75 is: 54,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,972.75 : 100,702.41 = 39,438.75 : x
  2. Step 2: Convert to fraction form
    72,972.75/100,702.41 = 39,438.75/x
  3. Step 3: Cross multiply
    72,972.75x = 100,702.41 × 39,438.75
  4. Step 4: Simplify right side
    72,972.75x = 3,971,577,172.39
  5. Step 5: Solve for x
    x = 3,971,577,172.39/72,972.75
  6. Step 6: Final answer
    x = 54,425.48

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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.