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Finding the Fourth Proportional to 90,599.68, 135,865.50 and 31,421.08

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Solution

The fourth proportional to 90,599.68, 135,865.50 and 31,421.08 is: 47,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,599.68 : 135,865.50 = 31,421.08 : x
  2. Step 2: Convert to fraction form
    90,599.68/135,865.50 = 31,421.08/x
  3. Step 3: Cross multiply
    90,599.68x = 135,865.50 × 31,421.08
  4. Step 4: Simplify right side
    90,599.68x = 4,269,040,744.74
  5. Step 5: Solve for x
    x = 4,269,040,744.74/90,599.68
  6. Step 6: Final answer
    x = 47,119.82

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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.