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Finding the Fourth Proportional to 90,077, 135,115.98 and 24,413

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Solution

The fourth proportional to 90,077, 135,115.98 and 24,413 is: 36,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,077 : 135,115.98 = 24,413 : x
  2. Step 2: Convert to fraction form
    90,077/135,115.98 = 24,413/x
  3. Step 3: Cross multiply
    90,077x = 135,115.98 × 24,413
  4. Step 4: Simplify right side
    90,077x = 3,298,586,419.74
  5. Step 5: Solve for x
    x = 3,298,586,419.74/90,077
  6. Step 6: Final answer
    x = 36,619.63

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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.