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Finding the Fourth Proportional to 75,196.86, 103,766.84 and 41,204.94

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Solution

The fourth proportional to 75,196.86, 103,766.84 and 41,204.94 is: 56,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,196.86 : 103,766.84 = 41,204.94 : x
  2. Step 2: Convert to fraction form
    75,196.86/103,766.84 = 41,204.94/x
  3. Step 3: Cross multiply
    75,196.86x = 103,766.84 × 41,204.94
  4. Step 4: Simplify right side
    75,196.86x = 4,275,706,416.19
  5. Step 5: Solve for x
    x = 4,275,706,416.19/75,196.86
  6. Step 6: Final answer
    x = 56,860.17

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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.