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Finding the Fourth Proportional to 32,203.80, 48,283.20 and 19,049.40

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Solution

The fourth proportional to 32,203.80, 48,283.20 and 19,049.40 is: 28,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.80 : 48,283.20 = 19,049.40 : x
  2. Step 2: Convert to fraction form
    32,203.80/48,283.20 = 19,049.40/x
  3. Step 3: Cross multiply
    32,203.80x = 48,283.20 × 19,049.40
  4. Step 4: Simplify right side
    32,203.80x = 919,765,990.08
  5. Step 5: Solve for x
    x = 919,765,990.08/32,203.80
  6. Step 6: Final answer
    x = 28,560.79

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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.