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Finding the Fourth Proportional to 27,772.30, 38,325.61 and 25,513

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Solution

The fourth proportional to 27,772.30, 38,325.61 and 25,513 is: 35,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.30 : 38,325.61 = 25,513 : x
  2. Step 2: Convert to fraction form
    27,772.30/38,325.61 = 25,513/x
  3. Step 3: Cross multiply
    27,772.30x = 38,325.61 × 25,513
  4. Step 4: Simplify right side
    27,772.30x = 977,801,287.93
  5. Step 5: Solve for x
    x = 977,801,287.93/27,772.30
  6. Step 6: Final answer
    x = 35,207.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.