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Finding the Fourth Proportional to 27,167.01, 40,744.27 and 7,447.10

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Solution

The fourth proportional to 27,167.01, 40,744.27 and 7,447.10 is: 11,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,167.01 : 40,744.27 = 7,447.10 : x
  2. Step 2: Convert to fraction form
    27,167.01/40,744.27 = 7,447.10/x
  3. Step 3: Cross multiply
    27,167.01x = 40,744.27 × 7,447.10
  4. Step 4: Simplify right side
    27,167.01x = 303,426,653.12
  5. Step 5: Solve for x
    x = 303,426,653.12/27,167.01
  6. Step 6: Final answer
    x = 11,168.94

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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.