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Finding the Fourth Proportional to 75,104.73, 103,649.49 and 43,275.65

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Solution

The fourth proportional to 75,104.73, 103,649.49 and 43,275.65 is: 59,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104.73 : 103,649.49 = 43,275.65 : x
  2. Step 2: Convert to fraction form
    75,104.73/103,649.49 = 43,275.65/x
  3. Step 3: Cross multiply
    75,104.73x = 103,649.49 × 43,275.65
  4. Step 4: Simplify right side
    75,104.73x = 4,485,498,533.67
  5. Step 5: Solve for x
    x = 4,485,498,533.67/75,104.73
  6. Step 6: Final answer
    x = 59,723.25

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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.