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Finding the Fourth Proportional to 31,397.70, 47,092.84 and 8,910.36

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Solution

The fourth proportional to 31,397.70, 47,092.84 and 8,910.36 is: 13,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.70 : 47,092.84 = 8,910.36 : x
  2. Step 2: Convert to fraction form
    31,397.70/47,092.84 = 8,910.36/x
  3. Step 3: Cross multiply
    31,397.70x = 47,092.84 × 8,910.36
  4. Step 4: Simplify right side
    31,397.70x = 419,614,094.94
  5. Step 5: Solve for x
    x = 419,614,094.94/31,397.70
  6. Step 6: Final answer
    x = 13,364.48

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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.