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Finding the Fourth Proportional to 42,793.28, 64,200.88 and 17,825

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Solution

The fourth proportional to 42,793.28, 64,200.88 and 17,825 is: 26,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,793.28 : 64,200.88 = 17,825 : x
  2. Step 2: Convert to fraction form
    42,793.28/64,200.88 = 17,825/x
  3. Step 3: Cross multiply
    42,793.28x = 64,200.88 × 17,825
  4. Step 4: Simplify right side
    42,793.28x = 1,144,380,686
  5. Step 5: Solve for x
    x = 1,144,380,686/42,793.28
  6. Step 6: Final answer
    x = 26,742.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.