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Finding the Fourth Proportional to 90,506.22, 135,767.30 and 33,580.77

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Solution

The fourth proportional to 90,506.22, 135,767.30 and 33,580.77 is: 50,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,506.22 : 135,767.30 = 33,580.77 : x
  2. Step 2: Convert to fraction form
    90,506.22/135,767.30 = 33,580.77/x
  3. Step 3: Cross multiply
    90,506.22x = 135,767.30 × 33,580.77
  4. Step 4: Simplify right side
    90,506.22x = 4,559,170,306.92
  5. Step 5: Solve for x
    x = 4,559,170,306.92/90,506.22
  6. Step 6: Final answer
    x = 50,374.11

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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.