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Finding the Fourth Proportional to 101,452.53, 152,197.93 and 31,315.44

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Solution

The fourth proportional to 101,452.53, 152,197.93 and 31,315.44 is: 46,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,452.53 : 152,197.93 = 31,315.44 : x
  2. Step 2: Convert to fraction form
    101,452.53/152,197.93 = 31,315.44/x
  3. Step 3: Cross multiply
    101,452.53x = 152,197.93 × 31,315.44
  4. Step 4: Simplify right side
    101,452.53x = 4,766,145,145.04
  5. Step 5: Solve for x
    x = 4,766,145,145.04/101,452.53
  6. Step 6: Final answer
    x = 46,979.07

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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.