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Finding the Fourth Proportional to 106,994.36, 160,491.14 and 32,114.18

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Solution

The fourth proportional to 106,994.36, 160,491.14 and 32,114.18 is: 48,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,994.36 : 160,491.14 = 32,114.18 : x
  2. Step 2: Convert to fraction form
    106,994.36/160,491.14 = 32,114.18/x
  3. Step 3: Cross multiply
    106,994.36x = 160,491.14 × 32,114.18
  4. Step 4: Simplify right side
    106,994.36x = 5,154,040,555.91
  5. Step 5: Solve for x
    x = 5,154,040,555.91/106,994.36
  6. Step 6: Final answer
    x = 48,171.14

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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.