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Finding the Fourth Proportional to 33,019.92, 49,534.20 and 17,438.16

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Solution

The fourth proportional to 33,019.92, 49,534.20 and 17,438.16 is: 26,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019.92 : 49,534.20 = 17,438.16 : x
  2. Step 2: Convert to fraction form
    33,019.92/49,534.20 = 17,438.16/x
  3. Step 3: Cross multiply
    33,019.92x = 49,534.20 × 17,438.16
  4. Step 4: Simplify right side
    33,019.92x = 863,785,305.07
  5. Step 5: Solve for x
    x = 863,785,305.07/33,019.92
  6. Step 6: Final answer
    x = 26,159.52

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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.