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Finding the Fourth Proportional to 31,737.83, 47,612.21 and 13,028.04

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Solution

The fourth proportional to 31,737.83, 47,612.21 and 13,028.04 is: 19,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.83 : 47,612.21 = 13,028.04 : x
  2. Step 2: Convert to fraction form
    31,737.83/47,612.21 = 13,028.04/x
  3. Step 3: Cross multiply
    31,737.83x = 47,612.21 × 13,028.04
  4. Step 4: Simplify right side
    31,737.83x = 620,293,711.23
  5. Step 5: Solve for x
    x = 620,293,711.23/31,737.83
  6. Step 6: Final answer
    x = 19,544.30

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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.