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Finding the Fourth Proportional to 98,033.17, 147,046.71 and 27,912.49

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Solution

The fourth proportional to 98,033.17, 147,046.71 and 27,912.49 is: 41,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,033.17 : 147,046.71 = 27,912.49 : x
  2. Step 2: Convert to fraction form
    98,033.17/147,046.71 = 27,912.49/x
  3. Step 3: Cross multiply
    98,033.17x = 147,046.71 × 27,912.49
  4. Step 4: Simplify right side
    98,033.17x = 4,104,439,822.41
  5. Step 5: Solve for x
    x = 4,104,439,822.41/98,033.17
  6. Step 6: Final answer
    x = 41,867.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.