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Finding the Fourth Proportional to 27,104.20, 40,598.70 and 22,496.20

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Solution

The fourth proportional to 27,104.20, 40,598.70 and 22,496.20 is: 33,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,104.20 : 40,598.70 = 22,496.20 : x
  2. Step 2: Convert to fraction form
    27,104.20/40,598.70 = 22,496.20/x
  3. Step 3: Cross multiply
    27,104.20x = 40,598.70 × 22,496.20
  4. Step 4: Simplify right side
    27,104.20x = 913,316,474.94
  5. Step 5: Solve for x
    x = 913,316,474.94/27,104.20
  6. Step 6: Final answer
    x = 33,696.49

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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.