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Finding the Fourth Proportional to 97,067.75, 145,601.51 and 30,513.69

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Solution

The fourth proportional to 97,067.75, 145,601.51 and 30,513.69 is: 45,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,067.75 : 145,601.51 = 30,513.69 : x
  2. Step 2: Convert to fraction form
    97,067.75/145,601.51 = 30,513.69/x
  3. Step 3: Cross multiply
    97,067.75x = 145,601.51 × 30,513.69
  4. Step 4: Simplify right side
    97,067.75x = 4,442,839,187.10
  5. Step 5: Solve for x
    x = 4,442,839,187.10/97,067.75
  6. Step 6: Final answer
    x = 45,770.50

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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.