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Finding the Fourth Proportional to 106,390.71, 159,622.50 and 36,319.23

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Solution

The fourth proportional to 106,390.71, 159,622.50 and 36,319.23 is: 54,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,390.71 : 159,622.50 = 36,319.23 : x
  2. Step 2: Convert to fraction form
    106,390.71/159,622.50 = 36,319.23/x
  3. Step 3: Cross multiply
    106,390.71x = 159,622.50 × 36,319.23
  4. Step 4: Simplify right side
    106,390.71x = 5,797,366,290.68
  5. Step 5: Solve for x
    x = 5,797,366,290.68/106,390.71
  6. Step 6: Final answer
    x = 54,491.28

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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.