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Finding the Fourth Proportional to 75,099.84, 103,650.48 and 43,287.23

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Solution

The fourth proportional to 75,099.84, 103,650.48 and 43,287.23 is: 59,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099.84 : 103,650.48 = 43,287.23 : x
  2. Step 2: Convert to fraction form
    75,099.84/103,650.48 = 43,287.23/x
  3. Step 3: Cross multiply
    75,099.84x = 103,650.48 × 43,287.23
  4. Step 4: Simplify right side
    75,099.84x = 4,486,741,649.12
  5. Step 5: Solve for x
    x = 4,486,741,649.12/75,099.84
  6. Step 6: Final answer
    x = 59,743.69

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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.