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Finding the Fourth Proportional to 75,278.66, 103,884.53 and 41,744.66

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Solution

The fourth proportional to 75,278.66, 103,884.53 and 41,744.66 is: 57,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,278.66 : 103,884.53 = 41,744.66 : x
  2. Step 2: Convert to fraction form
    75,278.66/103,884.53 = 41,744.66/x
  3. Step 3: Cross multiply
    75,278.66x = 103,884.53 × 41,744.66
  4. Step 4: Simplify right side
    75,278.66x = 4,336,623,969.05
  5. Step 5: Solve for x
    x = 4,336,623,969.05/75,278.66
  6. Step 6: Final answer
    x = 57,607.62

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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.