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Finding the Fourth Proportional to 106,297.40, 159,463.32 and 31,425.08

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Solution

The fourth proportional to 106,297.40, 159,463.32 and 31,425.08 is: 47,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,297.40 : 159,463.32 = 31,425.08 : x
  2. Step 2: Convert to fraction form
    106,297.40/159,463.32 = 31,425.08/x
  3. Step 3: Cross multiply
    106,297.40x = 159,463.32 × 31,425.08
  4. Step 4: Simplify right side
    106,297.40x = 5,011,147,588.07
  5. Step 5: Solve for x
    x = 5,011,147,588.07/106,297.40
  6. Step 6: Final answer
    x = 47,142.71

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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.