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Finding the Fourth Proportional to 50,782.76, 70,086.48 and 30,651.20

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Solution

The fourth proportional to 50,782.76, 70,086.48 and 30,651.20 is: 42,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.76 : 70,086.48 = 30,651.20 : x
  2. Step 2: Convert to fraction form
    50,782.76/70,086.48 = 30,651.20/x
  3. Step 3: Cross multiply
    50,782.76x = 70,086.48 × 30,651.20
  4. Step 4: Simplify right side
    50,782.76x = 2,148,234,715.78
  5. Step 5: Solve for x
    x = 2,148,234,715.78/50,782.76
  6. Step 6: Final answer
    x = 42,302.44

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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.