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Finding the Fourth Proportional to 27,065.50, 40,593.46 and 7,345.59

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Solution

The fourth proportional to 27,065.50, 40,593.46 and 7,345.59 is: 11,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065.50 : 40,593.46 = 7,345.59 : x
  2. Step 2: Convert to fraction form
    27,065.50/40,593.46 = 7,345.59/x
  3. Step 3: Cross multiply
    27,065.50x = 40,593.46 × 7,345.59
  4. Step 4: Simplify right side
    27,065.50x = 298,182,895.48
  5. Step 5: Solve for x
    x = 298,182,895.48/27,065.50
  6. Step 6: Final answer
    x = 11,017.09

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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.