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Finding the Fourth Proportional to 75,845.84, 113,192.03 and 67,438.60

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Solution

The fourth proportional to 75,845.84, 113,192.03 and 67,438.60 is: 100,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,845.84 : 113,192.03 = 67,438.60 : x
  2. Step 2: Convert to fraction form
    75,845.84/113,192.03 = 67,438.60/x
  3. Step 3: Cross multiply
    75,845.84x = 113,192.03 × 67,438.60
  4. Step 4: Simplify right side
    75,845.84x = 7,633,512,034.36
  5. Step 5: Solve for x
    x = 7,633,512,034.36/75,845.84
  6. Step 6: Final answer
    x = 100,645.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.