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Finding the Fourth Proportional to 61,005.72, 91,389.38 and 42,027

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Solution

The fourth proportional to 61,005.72, 91,389.38 and 42,027 is: 62,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,005.72 : 91,389.38 = 42,027 : x
  2. Step 2: Convert to fraction form
    61,005.72/91,389.38 = 42,027/x
  3. Step 3: Cross multiply
    61,005.72x = 91,389.38 × 42,027
  4. Step 4: Simplify right side
    61,005.72x = 3,840,821,473.26
  5. Step 5: Solve for x
    x = 3,840,821,473.26/61,005.72
  6. Step 6: Final answer
    x = 62,958.38

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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.