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Finding the Fourth Proportional to 27,722.52, 41,583.18 and 9,002.52

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Solution

The fourth proportional to 27,722.52, 41,583.18 and 9,002.52 is: 13,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.52 : 41,583.18 = 9,002.52 : x
  2. Step 2: Convert to fraction form
    27,722.52/41,583.18 = 9,002.52/x
  3. Step 3: Cross multiply
    27,722.52x = 41,583.18 × 9,002.52
  4. Step 4: Simplify right side
    27,722.52x = 374,353,409.61
  5. Step 5: Solve for x
    x = 374,353,409.61/27,722.52
  6. Step 6: Final answer
    x = 13,503.59

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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.