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Finding the Fourth Proportional to 42,781.28, 64,182.84 and 17,813

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Solution

The fourth proportional to 42,781.28, 64,182.84 and 17,813 is: 26,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,781.28 : 64,182.84 = 17,813 : x
  2. Step 2: Convert to fraction form
    42,781.28/64,182.84 = 17,813/x
  3. Step 3: Cross multiply
    42,781.28x = 64,182.84 × 17,813
  4. Step 4: Simplify right side
    42,781.28x = 1,143,288,928.92
  5. Step 5: Solve for x
    x = 1,143,288,928.92/42,781.28
  6. Step 6: Final answer
    x = 26,724.05

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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.