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Finding the Fourth Proportional to 27,773.18, 41,664.09 and 9,048.86

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Solution

The fourth proportional to 27,773.18, 41,664.09 and 9,048.86 is: 13,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.18 : 41,664.09 = 9,048.86 : x
  2. Step 2: Convert to fraction form
    27,773.18/41,664.09 = 9,048.86/x
  3. Step 3: Cross multiply
    27,773.18x = 41,664.09 × 9,048.86
  4. Step 4: Simplify right side
    27,773.18x = 377,012,517.44
  5. Step 5: Solve for x
    x = 377,012,517.44/27,773.18
  6. Step 6: Final answer
    x = 13,574.70

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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.