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Finding the Fourth Proportional to 27,327.50, 40,990.53 and 7,605.26

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Solution

The fourth proportional to 27,327.50, 40,990.53 and 7,605.26 is: 11,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,327.50 : 40,990.53 = 7,605.26 : x
  2. Step 2: Convert to fraction form
    27,327.50/40,990.53 = 7,605.26/x
  3. Step 3: Cross multiply
    27,327.50x = 40,990.53 × 7,605.26
  4. Step 4: Simplify right side
    27,327.50x = 311,743,638.19
  5. Step 5: Solve for x
    x = 311,743,638.19/27,327.50
  6. Step 6: Final answer
    x = 11,407.69

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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.