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Finding the Fourth Proportional to 33,761.16, 46,564.47 and 20,318.40

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Solution

The fourth proportional to 33,761.16, 46,564.47 and 20,318.40 is: 28,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,761.16 : 46,564.47 = 20,318.40 : x
  2. Step 2: Convert to fraction form
    33,761.16/46,564.47 = 20,318.40/x
  3. Step 3: Cross multiply
    33,761.16x = 46,564.47 × 20,318.40
  4. Step 4: Simplify right side
    33,761.16x = 946,115,527.25
  5. Step 5: Solve for x
    x = 946,115,527.25/33,761.16
  6. Step 6: Final answer
    x = 28,023.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.