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Finding the Fourth Proportional to 100,822.58, 151,247.71 and 34,244.84

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Solution

The fourth proportional to 100,822.58, 151,247.71 and 34,244.84 is: 51,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,822.58 : 151,247.71 = 34,244.84 : x
  2. Step 2: Convert to fraction form
    100,822.58/151,247.71 = 34,244.84/x
  3. Step 3: Cross multiply
    100,822.58x = 151,247.71 × 34,244.84
  4. Step 4: Simplify right side
    100,822.58x = 5,179,452,873.08
  5. Step 5: Solve for x
    x = 5,179,452,873.08/100,822.58
  6. Step 6: Final answer
    x = 51,371.95

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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.