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Finding the Fourth Proportional to 50,077.90, 75,142.74 and 22,017.64

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Solution

The fourth proportional to 50,077.90, 75,142.74 and 22,017.64 is: 33,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077.90 : 75,142.74 = 22,017.64 : x
  2. Step 2: Convert to fraction form
    50,077.90/75,142.74 = 22,017.64/x
  3. Step 3: Cross multiply
    50,077.90x = 75,142.74 × 22,017.64
  4. Step 4: Simplify right side
    50,077.90x = 1,654,465,797.93
  5. Step 5: Solve for x
    x = 1,654,465,797.93/50,077.90
  6. Step 6: Final answer
    x = 33,037.84

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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.