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Finding the Fourth Proportional to 106,440.36, 159,614.17 and 30,522.15

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Solution

The fourth proportional to 106,440.36, 159,614.17 and 30,522.15 is: 45,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,440.36 : 159,614.17 = 30,522.15 : x
  2. Step 2: Convert to fraction form
    106,440.36/159,614.17 = 30,522.15/x
  3. Step 3: Cross multiply
    106,440.36x = 159,614.17 × 30,522.15
  4. Step 4: Simplify right side
    106,440.36x = 4,871,767,562.56
  5. Step 5: Solve for x
    x = 4,871,767,562.56/106,440.36
  6. Step 6: Final answer
    x = 45,769.93

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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.