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Finding the Fourth Proportional to 106,578.69, 159,864.38 and 27,693.60

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Solution

The fourth proportional to 106,578.69, 159,864.38 and 27,693.60 is: 41,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,578.69 : 159,864.38 = 27,693.60 : x
  2. Step 2: Convert to fraction form
    106,578.69/159,864.38 = 27,693.60/x
  3. Step 3: Cross multiply
    106,578.69x = 159,864.38 × 27,693.60
  4. Step 4: Simplify right side
    106,578.69x = 4,427,220,055.50
  5. Step 5: Solve for x
    x = 4,427,220,055.50/106,578.69
  6. Step 6: Final answer
    x = 41,539.45

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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.