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Finding the Fourth Proportional to 75,674.86, 104,361.68 and 49,822.49

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Solution

The fourth proportional to 75,674.86, 104,361.68 and 49,822.49 is: 68,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,674.86 : 104,361.68 = 49,822.49 : x
  2. Step 2: Convert to fraction form
    75,674.86/104,361.68 = 49,822.49/x
  3. Step 3: Cross multiply
    75,674.86x = 104,361.68 × 49,822.49
  4. Step 4: Simplify right side
    75,674.86x = 5,199,559,143.64
  5. Step 5: Solve for x
    x = 5,199,559,143.64/75,674.86
  6. Step 6: Final answer
    x = 68,709.20

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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.