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Finding the Fourth Proportional to 27,775.45, 41,669.78 and 9,055.61

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Solution

The fourth proportional to 27,775.45, 41,669.78 and 9,055.61 is: 13,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.45 : 41,669.78 = 9,055.61 : x
  2. Step 2: Convert to fraction form
    27,775.45/41,669.78 = 9,055.61/x
  3. Step 3: Cross multiply
    27,775.45x = 41,669.78 × 9,055.61
  4. Step 4: Simplify right side
    27,775.45x = 377,345,231.19
  5. Step 5: Solve for x
    x = 377,345,231.19/27,775.45
  6. Step 6: Final answer
    x = 13,585.57

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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.