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Finding the Fourth Proportional to 75,846.84, 113,193.52 and 67,439.60

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Solution

The fourth proportional to 75,846.84, 113,193.52 and 67,439.60 is: 100,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.84 : 113,193.52 = 67,439.60 : x
  2. Step 2: Convert to fraction form
    75,846.84/113,193.52 = 67,439.60/x
  3. Step 3: Cross multiply
    75,846.84x = 113,193.52 × 67,439.60
  4. Step 4: Simplify right side
    75,846.84x = 7,633,725,711.39
  5. Step 5: Solve for x
    x = 7,633,725,711.39/75,846.84
  6. Step 6: Final answer
    x = 100,646.59

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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.