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Finding the Fourth Proportional to 106,224.99, 159,371.19 and 31,345.50

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Solution

The fourth proportional to 106,224.99, 159,371.19 and 31,345.50 is: 47,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,224.99 : 159,371.19 = 31,345.50 : x
  2. Step 2: Convert to fraction form
    106,224.99/159,371.19 = 31,345.50/x
  3. Step 3: Cross multiply
    106,224.99x = 159,371.19 × 31,345.50
  4. Step 4: Simplify right side
    106,224.99x = 4,995,569,636.15
  5. Step 5: Solve for x
    x = 4,995,569,636.15/106,224.99
  6. Step 6: Final answer
    x = 47,028.20

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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.