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Finding the Fourth Proportional to 75,257.92, 103,851.60 and 41,259.84

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Solution

The fourth proportional to 75,257.92, 103,851.60 and 41,259.84 is: 56,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,257.92 : 103,851.60 = 41,259.84 : x
  2. Step 2: Convert to fraction form
    75,257.92/103,851.60 = 41,259.84/x
  3. Step 3: Cross multiply
    75,257.92x = 103,851.60 × 41,259.84
  4. Step 4: Simplify right side
    75,257.92x = 4,284,900,399.74
  5. Step 5: Solve for x
    x = 4,284,900,399.74/75,257.92
  6. Step 6: Final answer
    x = 56,936.21

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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.