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Finding the Fourth Proportional to 27,851.32, 41,775.02 and 13,063.48

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Solution

The fourth proportional to 27,851.32, 41,775.02 and 13,063.48 is: 19,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.32 : 41,775.02 = 13,063.48 : x
  2. Step 2: Convert to fraction form
    27,851.32/41,775.02 = 13,063.48/x
  3. Step 3: Cross multiply
    27,851.32x = 41,775.02 × 13,063.48
  4. Step 4: Simplify right side
    27,851.32x = 545,727,138.27
  5. Step 5: Solve for x
    x = 545,727,138.27/27,851.32
  6. Step 6: Final answer
    x = 19,594.30

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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.