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Finding the Fourth Proportional to 75,169.33, 103,694.34 and 46,479.82

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Solution

The fourth proportional to 75,169.33, 103,694.34 and 46,479.82 is: 64,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,169.33 : 103,694.34 = 46,479.82 : x
  2. Step 2: Convert to fraction form
    75,169.33/103,694.34 = 46,479.82/x
  3. Step 3: Cross multiply
    75,169.33x = 103,694.34 × 46,479.82
  4. Step 4: Simplify right side
    75,169.33x = 4,819,693,739.75
  5. Step 5: Solve for x
    x = 4,819,693,739.75/75,169.33
  6. Step 6: Final answer
    x = 64,117.83

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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.