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Finding the Fourth Proportional to 47,751.65, 65,876.87 and 29,834.45

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Solution

The fourth proportional to 47,751.65, 65,876.87 and 29,834.45 is: 41,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.65 : 65,876.87 = 29,834.45 : x
  2. Step 2: Convert to fraction form
    47,751.65/65,876.87 = 29,834.45/x
  3. Step 3: Cross multiply
    47,751.65x = 65,876.87 × 29,834.45
  4. Step 4: Simplify right side
    47,751.65x = 1,965,400,035.00
  5. Step 5: Solve for x
    x = 1,965,400,035.00/47,751.65
  6. Step 6: Final answer
    x = 41,158.79

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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.