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Finding the Fourth Proportional to 73,176.16, 100,879.68 and 51,947.68

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Solution

The fourth proportional to 73,176.16, 100,879.68 and 51,947.68 is: 71,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176.16 : 100,879.68 = 51,947.68 : x
  2. Step 2: Convert to fraction form
    73,176.16/100,879.68 = 51,947.68/x
  3. Step 3: Cross multiply
    73,176.16x = 100,879.68 × 51,947.68
  4. Step 4: Simplify right side
    73,176.16x = 5,240,465,335.14
  5. Step 5: Solve for x
    x = 5,240,465,335.14/73,176.16
  6. Step 6: Final answer
    x = 71,614.38

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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.