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Finding the Fourth Proportional to 30,446.80, 45,713.40 and 18,782.80

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Solution

The fourth proportional to 30,446.80, 45,713.40 and 18,782.80 is: 28,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.80 : 45,713.40 = 18,782.80 : x
  2. Step 2: Convert to fraction form
    30,446.80/45,713.40 = 18,782.80/x
  3. Step 3: Cross multiply
    30,446.80x = 45,713.40 × 18,782.80
  4. Step 4: Simplify right side
    30,446.80x = 858,625,649.52
  5. Step 5: Solve for x
    x = 858,625,649.52/30,446.80
  6. Step 6: Final answer
    x = 28,200.85

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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.