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Finding the Fourth Proportional to 27,076.71, 40,610.95 and 9,310.06

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Solution

The fourth proportional to 27,076.71, 40,610.95 and 9,310.06 is: 13,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,076.71 : 40,610.95 = 9,310.06 : x
  2. Step 2: Convert to fraction form
    27,076.71/40,610.95 = 9,310.06/x
  3. Step 3: Cross multiply
    27,076.71x = 40,610.95 × 9,310.06
  4. Step 4: Simplify right side
    27,076.71x = 378,090,381.16
  5. Step 5: Solve for x
    x = 378,090,381.16/27,076.71
  6. Step 6: Final answer
    x = 13,963.68

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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.