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Finding the Fourth Proportional to 23,731.20, 32,770.80 and 19,049.76

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Solution

The fourth proportional to 23,731.20, 32,770.80 and 19,049.76 is: 26,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.20 : 32,770.80 = 19,049.76 : x
  2. Step 2: Convert to fraction form
    23,731.20/32,770.80 = 19,049.76/x
  3. Step 3: Cross multiply
    23,731.20x = 32,770.80 × 19,049.76
  4. Step 4: Simplify right side
    23,731.20x = 624,275,875.01
  5. Step 5: Solve for x
    x = 624,275,875.01/23,731.20
  6. Step 6: Final answer
    x = 26,306.12

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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.