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Finding the Fourth Proportional to 71,202.02, 106,781.16 and 33,751.01

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Solution

The fourth proportional to 71,202.02, 106,781.16 and 33,751.01 is: 50,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.02 : 106,781.16 = 33,751.01 : x
  2. Step 2: Convert to fraction form
    71,202.02/106,781.16 = 33,751.01/x
  3. Step 3: Cross multiply
    71,202.02x = 106,781.16 × 33,751.01
  4. Step 4: Simplify right side
    71,202.02x = 3,603,971,465.07
  5. Step 5: Solve for x
    x = 3,603,971,465.07/71,202.02
  6. Step 6: Final answer
    x = 50,616.14

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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.