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Finding the Fourth Proportional to 27,175, 37,564.30 and 22,672.52

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Solution

The fourth proportional to 27,175, 37,564.30 and 22,672.52 is: 31,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175 : 37,564.30 = 22,672.52 : x
  2. Step 2: Convert to fraction form
    27,175/37,564.30 = 22,672.52/x
  3. Step 3: Cross multiply
    27,175x = 37,564.30 × 22,672.52
  4. Step 4: Simplify right side
    27,175x = 851,677,343.04
  5. Step 5: Solve for x
    x = 851,677,343.04/27,175
  6. Step 6: Final answer
    x = 31,340.47

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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.