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Finding the Fourth Proportional to 52,154.93, 71,984.02 and 34,249.48

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Solution

The fourth proportional to 52,154.93, 71,984.02 and 34,249.48 is: 47,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154.93 : 71,984.02 = 34,249.48 : x
  2. Step 2: Convert to fraction form
    52,154.93/71,984.02 = 34,249.48/x
  3. Step 3: Cross multiply
    52,154.93x = 71,984.02 × 34,249.48
  4. Step 4: Simplify right side
    52,154.93x = 2,465,414,987.73
  5. Step 5: Solve for x
    x = 2,465,414,987.73/52,154.93
  6. Step 6: Final answer
    x = 47,270.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.