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Finding the Fourth Proportional to 27,065.38, 40,593.27 and 7,345.47

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Solution

The fourth proportional to 27,065.38, 40,593.27 and 7,345.47 is: 11,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065.38 : 40,593.27 = 7,345.47 : x
  2. Step 2: Convert to fraction form
    27,065.38/40,593.27 = 7,345.47/x
  3. Step 3: Cross multiply
    27,065.38x = 40,593.27 × 7,345.47
  4. Step 4: Simplify right side
    27,065.38x = 298,176,444.02
  5. Step 5: Solve for x
    x = 298,176,444.02/27,065.38
  6. Step 6: Final answer
    x = 11,016.90

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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.