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Finding the Fourth Proportional to 90,033, 135,051.33 and 27,703.50

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Solution

The fourth proportional to 90,033, 135,051.33 and 27,703.50 is: 41,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,033 : 135,051.33 = 27,703.50 : x
  2. Step 2: Convert to fraction form
    90,033/135,051.33 = 27,703.50/x
  3. Step 3: Cross multiply
    90,033x = 135,051.33 × 27,703.50
  4. Step 4: Simplify right side
    90,033x = 3,741,394,520.66
  5. Step 5: Solve for x
    x = 3,741,394,520.66/90,033
  6. Step 6: Final answer
    x = 41,555.81

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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.