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Finding the Fourth Proportional to 70,847.54, 97,774.05 and 39,016.43

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Solution

The fourth proportional to 70,847.54, 97,774.05 and 39,016.43 is: 53,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,847.54 : 97,774.05 = 39,016.43 : x
  2. Step 2: Convert to fraction form
    70,847.54/97,774.05 = 39,016.43/x
  3. Step 3: Cross multiply
    70,847.54x = 97,774.05 × 39,016.43
  4. Step 4: Simplify right side
    70,847.54x = 3,814,794,377.64
  5. Step 5: Solve for x
    x = 3,814,794,377.64/70,847.54
  6. Step 6: Final answer
    x = 53,845.12

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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.