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Finding the Fourth Proportional to 52,452.99, 78,748.07 and 31,144.59

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Solution

The fourth proportional to 52,452.99, 78,748.07 and 31,144.59 is: 46,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,452.99 : 78,748.07 = 31,144.59 : x
  2. Step 2: Convert to fraction form
    52,452.99/78,748.07 = 31,144.59/x
  3. Step 3: Cross multiply
    52,452.99x = 78,748.07 × 31,144.59
  4. Step 4: Simplify right side
    52,452.99x = 2,452,576,353.44
  5. Step 5: Solve for x
    x = 2,452,576,353.44/52,452.99
  6. Step 6: Final answer
    x = 46,757.61

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1.5x scale

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.