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Finding the Fourth Proportional to 50,524.80, 75,808.80 and 31,819.20

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Solution

The fourth proportional to 50,524.80, 75,808.80 and 31,819.20 is: 47,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,524.80 : 75,808.80 = 31,819.20 : x
  2. Step 2: Convert to fraction form
    50,524.80/75,808.80 = 31,819.20/x
  3. Step 3: Cross multiply
    50,524.80x = 75,808.80 × 31,819.20
  4. Step 4: Simplify right side
    50,524.80x = 2,412,175,368.96
  5. Step 5: Solve for x
    x = 2,412,175,368.96/50,524.80
  6. Step 6: Final answer
    x = 47,742.40

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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.