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Finding the Fourth Proportional to 90,167.34, 135,263.31 and 37,564.50

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Solution

The fourth proportional to 90,167.34, 135,263.31 and 37,564.50 is: 56,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,167.34 : 135,263.31 = 37,564.50 : x
  2. Step 2: Convert to fraction form
    90,167.34/135,263.31 = 37,564.50/x
  3. Step 3: Cross multiply
    90,167.34x = 135,263.31 × 37,564.50
  4. Step 4: Simplify right side
    90,167.34x = 5,081,098,608.50
  5. Step 5: Solve for x
    x = 5,081,098,608.50/90,167.34
  6. Step 6: Final answer
    x = 56,351.87

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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.