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Finding the Fourth Proportional to 27,048, 37,327.04 and 15,111.84

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Solution

The fourth proportional to 27,048, 37,327.04 and 15,111.84 is: 20,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 37,327.04 = 15,111.84 : x
  2. Step 2: Convert to fraction form
    27,048/37,327.04 = 15,111.84/x
  3. Step 3: Cross multiply
    27,048x = 37,327.04 × 15,111.84
  4. Step 4: Simplify right side
    27,048x = 564,080,256.15
  5. Step 5: Solve for x
    x = 564,080,256.15/27,048
  6. Step 6: Final answer
    x = 20,854.79

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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.