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Finding the Fourth Proportional to 90,237.64, 135,369.42 and 27,913

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Solution

The fourth proportional to 90,237.64, 135,369.42 and 27,913 is: 41,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,237.64 : 135,369.42 = 27,913 : x
  2. Step 2: Convert to fraction form
    90,237.64/135,369.42 = 27,913/x
  3. Step 3: Cross multiply
    90,237.64x = 135,369.42 × 27,913
  4. Step 4: Simplify right side
    90,237.64x = 3,778,566,620.46
  5. Step 5: Solve for x
    x = 3,778,566,620.46/90,237.64
  6. Step 6: Final answer
    x = 41,873.51

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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.