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Finding the Fourth Proportional to 37,350, 51,546.24 and 20,586.24

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Solution

The fourth proportional to 37,350, 51,546.24 and 20,586.24 is: 28,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,350 : 51,546.24 = 20,586.24 : x
  2. Step 2: Convert to fraction form
    37,350/51,546.24 = 20,586.24/x
  3. Step 3: Cross multiply
    37,350x = 51,546.24 × 20,586.24
  4. Step 4: Simplify right side
    37,350x = 1,061,143,267.74
  5. Step 5: Solve for x
    x = 1,061,143,267.74/37,350
  6. Step 6: Final answer
    x = 28,410.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.