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Finding the Fourth Proportional to 27,777.71, 41,617.95 and 23,127.59

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Solution

The fourth proportional to 27,777.71, 41,617.95 and 23,127.59 is: 34,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.71 : 41,617.95 = 23,127.59 : x
  2. Step 2: Convert to fraction form
    27,777.71/41,617.95 = 23,127.59/x
  3. Step 3: Cross multiply
    27,777.71x = 41,617.95 × 23,127.59
  4. Step 4: Simplify right side
    27,777.71x = 962,522,676.15
  5. Step 5: Solve for x
    x = 962,522,676.15/27,777.71
  6. Step 6: Final answer
    x = 34,650.91

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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.