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Finding the Fourth Proportional to 70,845.75, 97,767.27 and 39,017.61

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Solution

The fourth proportional to 70,845.75, 97,767.27 and 39,017.61 is: 53,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,845.75 : 97,767.27 = 39,017.61 : x
  2. Step 2: Convert to fraction form
    70,845.75/97,767.27 = 39,017.61/x
  3. Step 3: Cross multiply
    70,845.75x = 97,767.27 × 39,017.61
  4. Step 4: Simplify right side
    70,845.75x = 3,814,645,211.62
  5. Step 5: Solve for x
    x = 3,814,645,211.62/70,845.75
  6. Step 6: Final answer
    x = 53,844.38

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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.