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Finding the Fourth Proportional to 47,732.52, 65,919.81 and 35,776.92

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Solution

The fourth proportional to 47,732.52, 65,919.81 and 35,776.92 is: 49,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,732.52 : 65,919.81 = 35,776.92 : x
  2. Step 2: Convert to fraction form
    47,732.52/65,919.81 = 35,776.92/x
  3. Step 3: Cross multiply
    47,732.52x = 65,919.81 × 35,776.92
  4. Step 4: Simplify right side
    47,732.52x = 2,358,407,768.79
  5. Step 5: Solve for x
    x = 2,358,407,768.79/47,732.52
  6. Step 6: Final answer
    x = 49,408.83

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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.