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Finding the Fourth Proportional to 101,969.06, 152,914.55 and 33,564.56

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Solution

The fourth proportional to 101,969.06, 152,914.55 and 33,564.56 is: 50,333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.06 : 152,914.55 = 33,564.56 : x
  2. Step 2: Convert to fraction form
    101,969.06/152,914.55 = 33,564.56/x
  3. Step 3: Cross multiply
    101,969.06x = 152,914.55 × 33,564.56
  4. Step 4: Simplify right side
    101,969.06x = 5,132,509,802.81
  5. Step 5: Solve for x
    x = 5,132,509,802.81/101,969.06
  6. Step 6: Final answer
    x = 50,333.99

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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.