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Finding the Fourth Proportional to 106,382.96, 159,578.50 and 39,816.08

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Solution

The fourth proportional to 106,382.96, 159,578.50 and 39,816.08 is: 59,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,382.96 : 159,578.50 = 39,816.08 : x
  2. Step 2: Convert to fraction form
    106,382.96/159,578.50 = 39,816.08/x
  3. Step 3: Cross multiply
    106,382.96x = 159,578.50 × 39,816.08
  4. Step 4: Simplify right side
    106,382.96x = 6,353,790,322.28
  5. Step 5: Solve for x
    x = 6,353,790,322.28/106,382.96
  6. Step 6: Final answer
    x = 59,725.64

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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.