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Finding the Fourth Proportional to 31,361.62, 47,017.77 and 21,470.92

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Solution

The fourth proportional to 31,361.62, 47,017.77 and 21,470.92 is: 32,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,361.62 : 47,017.77 = 21,470.92 : x
  2. Step 2: Convert to fraction form
    31,361.62/47,017.77 = 21,470.92/x
  3. Step 3: Cross multiply
    31,361.62x = 47,017.77 × 21,470.92
  4. Step 4: Simplify right side
    31,361.62x = 1,009,514,778.25
  5. Step 5: Solve for x
    x = 1,009,514,778.25/31,361.62
  6. Step 6: Final answer
    x = 32,189.50

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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.