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Finding the Fourth Proportional to 106,403.16, 159,641.19 and 36,331.68

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Solution

The fourth proportional to 106,403.16, 159,641.19 and 36,331.68 is: 54,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,403.16 : 159,641.19 = 36,331.68 : x
  2. Step 2: Convert to fraction form
    106,403.16/159,641.19 = 36,331.68/x
  3. Step 3: Cross multiply
    106,403.16x = 159,641.19 × 36,331.68
  4. Step 4: Simplify right side
    106,403.16x = 5,800,032,629.90
  5. Step 5: Solve for x
    x = 5,800,032,629.90/106,403.16
  6. Step 6: Final answer
    x = 54,509.97

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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.