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Finding the Fourth Proportional to 27,403.20, 41,047.20 and 22,795.20

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Solution

The fourth proportional to 27,403.20, 41,047.20 and 22,795.20 is: 34,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.20 : 41,047.20 = 22,795.20 : x
  2. Step 2: Convert to fraction form
    27,403.20/41,047.20 = 22,795.20/x
  3. Step 3: Cross multiply
    27,403.20x = 41,047.20 × 22,795.20
  4. Step 4: Simplify right side
    27,403.20x = 935,679,133.44
  5. Step 5: Solve for x
    x = 935,679,133.44/27,403.20
  6. Step 6: Final answer
    x = 34,144.89

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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.