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Finding the Fourth Proportional to 47,115.27, 65,019.92 and 25,894.49

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Solution

The fourth proportional to 47,115.27, 65,019.92 and 25,894.49 is: 35,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.27 : 65,019.92 = 25,894.49 : x
  2. Step 2: Convert to fraction form
    47,115.27/65,019.92 = 25,894.49/x
  3. Step 3: Cross multiply
    47,115.27x = 65,019.92 × 25,894.49
  4. Step 4: Simplify right side
    47,115.27x = 1,683,657,213.67
  5. Step 5: Solve for x
    x = 1,683,657,213.67/47,115.27
  6. Step 6: Final answer
    x = 35,734.85

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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.