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Finding the Fourth Proportional to 31,892.70, 47,729.70 and 22,051.20

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Solution

The fourth proportional to 31,892.70, 47,729.70 and 22,051.20 is: 33,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.70 : 47,729.70 = 22,051.20 : x
  2. Step 2: Convert to fraction form
    31,892.70/47,729.70 = 22,051.20/x
  3. Step 3: Cross multiply
    31,892.70x = 47,729.70 × 22,051.20
  4. Step 4: Simplify right side
    31,892.70x = 1,052,497,160.64
  5. Step 5: Solve for x
    x = 1,052,497,160.64/31,892.70
  6. Step 6: Final answer
    x = 33,001.19

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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.