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Finding the Fourth Proportional to 50,251.80, 75,312.90 and 30,509.40

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Solution

The fourth proportional to 50,251.80, 75,312.90 and 30,509.40 is: 45,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,251.80 : 75,312.90 = 30,509.40 : x
  2. Step 2: Convert to fraction form
    50,251.80/75,312.90 = 30,509.40/x
  3. Step 3: Cross multiply
    50,251.80x = 75,312.90 × 30,509.40
  4. Step 4: Simplify right side
    50,251.80x = 2,297,751,391.26
  5. Step 5: Solve for x
    x = 2,297,751,391.26/50,251.80
  6. Step 6: Final answer
    x = 45,724.76

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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.