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Finding the Fourth Proportional to 90,441, 135,673.02 and 24,777

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Solution

The fourth proportional to 90,441, 135,673.02 and 24,777 is: 37,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,441 : 135,673.02 = 24,777 : x
  2. Step 2: Convert to fraction form
    90,441/135,673.02 = 24,777/x
  3. Step 3: Cross multiply
    90,441x = 135,673.02 × 24,777
  4. Step 4: Simplify right side
    90,441x = 3,361,570,416.54
  5. Step 5: Solve for x
    x = 3,361,570,416.54/90,441
  6. Step 6: Final answer
    x = 37,168.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.