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Finding the Fourth Proportional to 27,147.29, 40,905.88 and 22,324.95

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Solution

The fourth proportional to 27,147.29, 40,905.88 and 22,324.95 is: 33,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147.29 : 40,905.88 = 22,324.95 : x
  2. Step 2: Convert to fraction form
    27,147.29/40,905.88 = 22,324.95/x
  3. Step 3: Cross multiply
    27,147.29x = 40,905.88 × 22,324.95
  4. Step 4: Simplify right side
    27,147.29x = 913,221,669.89
  5. Step 5: Solve for x
    x = 913,221,669.89/27,147.29
  6. Step 6: Final answer
    x = 33,639.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.