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Finding the Fourth Proportional to 101,772.18, 152,629.11 and 34,296.84

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Solution

The fourth proportional to 101,772.18, 152,629.11 and 34,296.84 is: 51,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772.18 : 152,629.11 = 34,296.84 : x
  2. Step 2: Convert to fraction form
    101,772.18/152,629.11 = 34,296.84/x
  3. Step 3: Cross multiply
    101,772.18x = 152,629.11 × 34,296.84
  4. Step 4: Simplify right side
    101,772.18x = 5,234,696,165.01
  5. Step 5: Solve for x
    x = 5,234,696,165.01/101,772.18
  6. Step 6: Final answer
    x = 51,435.43

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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.