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Finding the Fourth Proportional to 30,152.80, 45,229.20 and 20,821.60

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Solution

The fourth proportional to 30,152.80, 45,229.20 and 20,821.60 is: 31,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.80 : 45,229.20 = 20,821.60 : x
  2. Step 2: Convert to fraction form
    30,152.80/45,229.20 = 20,821.60/x
  3. Step 3: Cross multiply
    30,152.80x = 45,229.20 × 20,821.60
  4. Step 4: Simplify right side
    30,152.80x = 941,744,310.72
  5. Step 5: Solve for x
    x = 941,744,310.72/30,152.80
  6. Step 6: Final answer
    x = 31,232.40

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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.