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Finding the Fourth Proportional to 106,101.46, 159,127.50 and 31,201.57

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Solution

The fourth proportional to 106,101.46, 159,127.50 and 31,201.57 is: 46,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,101.46 : 159,127.50 = 31,201.57 : x
  2. Step 2: Convert to fraction form
    106,101.46/159,127.50 = 31,201.57/x
  3. Step 3: Cross multiply
    106,101.46x = 159,127.50 × 31,201.57
  4. Step 4: Simplify right side
    106,101.46x = 4,965,028,146.09
  5. Step 5: Solve for x
    x = 4,965,028,146.09/106,101.46
  6. Step 6: Final answer
    x = 46,795.10

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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.