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Finding the Fourth Proportional to 106,283.90, 159,443.04 and 31,411.56

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Solution

The fourth proportional to 106,283.90, 159,443.04 and 31,411.56 is: 47,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,283.90 : 159,443.04 = 31,411.56 : x
  2. Step 2: Convert to fraction form
    106,283.90/159,443.04 = 31,411.56/x
  3. Step 3: Cross multiply
    106,283.90x = 159,443.04 × 31,411.56
  4. Step 4: Simplify right side
    106,283.90x = 5,008,354,617.54
  5. Step 5: Solve for x
    x = 5,008,354,617.54/106,283.90
  6. Step 6: Final answer
    x = 47,122.42

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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.