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Finding the Fourth Proportional to 27,852.69, 38,451.66 and 21,512.10

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Solution

The fourth proportional to 27,852.69, 38,451.66 and 21,512.10 is: 29,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.69 : 38,451.66 = 21,512.10 : x
  2. Step 2: Convert to fraction form
    27,852.69/38,451.66 = 21,512.10/x
  3. Step 3: Cross multiply
    27,852.69x = 38,451.66 × 21,512.10
  4. Step 4: Simplify right side
    27,852.69x = 827,176,018.61
  5. Step 5: Solve for x
    x = 827,176,018.61/27,852.69
  6. Step 6: Final answer
    x = 29,698.24

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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.