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Finding the Fourth Proportional to 50,208, 75,253.12 and 20,586.24

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Solution

The fourth proportional to 50,208, 75,253.12 and 20,586.24 is: 30,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,208 : 75,253.12 = 20,586.24 : x
  2. Step 2: Convert to fraction form
    50,208/75,253.12 = 20,586.24/x
  3. Step 3: Cross multiply
    50,208x = 75,253.12 × 20,586.24
  4. Step 4: Simplify right side
    50,208x = 1,549,178,789.07
  5. Step 5: Solve for x
    x = 1,549,178,789.07/50,208
  6. Step 6: Final answer
    x = 30,855.22

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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.