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Finding the Fourth Proportional to 70,906.08, 97,849.11 and 38,640.98

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Solution

The fourth proportional to 70,906.08, 97,849.11 and 38,640.98 is: 53,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.08 : 97,849.11 = 38,640.98 : x
  2. Step 2: Convert to fraction form
    70,906.08/97,849.11 = 38,640.98/x
  3. Step 3: Cross multiply
    70,906.08x = 97,849.11 × 38,640.98
  4. Step 4: Simplify right side
    70,906.08x = 3,780,985,013.28
  5. Step 5: Solve for x
    x = 3,780,985,013.28/70,906.08
  6. Step 6: Final answer
    x = 53,323.85

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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.