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Finding the Fourth Proportional to 106,055.50, 158,945.66 and 49,107.84

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Solution

The fourth proportional to 106,055.50, 158,945.66 and 49,107.84 is: 73,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,055.50 : 158,945.66 = 49,107.84 : x
  2. Step 2: Convert to fraction form
    106,055.50/158,945.66 = 49,107.84/x
  3. Step 3: Cross multiply
    106,055.50x = 158,945.66 × 49,107.84
  4. Step 4: Simplify right side
    106,055.50x = 7,805,478,039.97
  5. Step 5: Solve for x
    x = 7,805,478,039.97/106,055.50
  6. Step 6: Final answer
    x = 73,598.05

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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.