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Finding the Fourth Proportional to 27,041.33, 40,564.02 and 7,319.55

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Solution

The fourth proportional to 27,041.33, 40,564.02 and 7,319.55 is: 10,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041.33 : 40,564.02 = 7,319.55 : x
  2. Step 2: Convert to fraction form
    27,041.33/40,564.02 = 7,319.55/x
  3. Step 3: Cross multiply
    27,041.33x = 40,564.02 × 7,319.55
  4. Step 4: Simplify right side
    27,041.33x = 296,910,372.59
  5. Step 5: Solve for x
    x = 296,910,372.59/27,041.33
  6. Step 6: Final answer
    x = 10,979.88

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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.