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Finding the Fourth Proportional to 27,527.78, 37,994.38 and 18,097.22

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Solution

The fourth proportional to 27,527.78, 37,994.38 and 18,097.22 is: 24,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527.78 : 37,994.38 = 18,097.22 : x
  2. Step 2: Convert to fraction form
    27,527.78/37,994.38 = 18,097.22/x
  3. Step 3: Cross multiply
    27,527.78x = 37,994.38 × 18,097.22
  4. Step 4: Simplify right side
    27,527.78x = 687,592,418.41
  5. Step 5: Solve for x
    x = 687,592,418.41/27,527.78
  6. Step 6: Final answer
    x = 24,978.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.