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Finding the Fourth Proportional to 27,043.16, 40,564.56 and 7,321.64

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Solution

The fourth proportional to 27,043.16, 40,564.56 and 7,321.64 is: 10,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,043.16 : 40,564.56 = 7,321.64 : x
  2. Step 2: Convert to fraction form
    27,043.16/40,564.56 = 7,321.64/x
  3. Step 3: Cross multiply
    27,043.16x = 40,564.56 × 7,321.64
  4. Step 4: Simplify right side
    27,043.16x = 296,999,105.08
  5. Step 5: Solve for x
    x = 296,999,105.08/27,043.16
  6. Step 6: Final answer
    x = 10,982.41

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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.