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Finding the Fourth Proportional to 31,852.40, 47,852.04 and 20,042.96

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Solution

The fourth proportional to 31,852.40, 47,852.04 and 20,042.96 is: 30,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.40 : 47,852.04 = 20,042.96 : x
  2. Step 2: Convert to fraction form
    31,852.40/47,852.04 = 20,042.96/x
  3. Step 3: Cross multiply
    31,852.40x = 47,852.04 × 20,042.96
  4. Step 4: Simplify right side
    31,852.40x = 959,096,523.64
  5. Step 5: Solve for x
    x = 959,096,523.64/31,852.40
  6. Step 6: Final answer
    x = 30,110.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.