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Finding the Fourth Proportional to 31,832.52, 47,671 and 27,477.96

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Solution

The fourth proportional to 31,832.52, 47,671 and 27,477.96 is: 41,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.52 : 47,671 = 27,477.96 : x
  2. Step 2: Convert to fraction form
    31,832.52/47,671 = 27,477.96/x
  3. Step 3: Cross multiply
    31,832.52x = 47,671 × 27,477.96
  4. Step 4: Simplify right side
    31,832.52x = 1,309,901,831.16
  5. Step 5: Solve for x
    x = 1,309,901,831.16/31,832.52
  6. Step 6: Final answer
    x = 41,149.80

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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.