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Finding the Fourth Proportional to 31,872.82, 47,810.04 and 17,825

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Solution

The fourth proportional to 31,872.82, 47,810.04 and 17,825 is: 26,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.82 : 47,810.04 = 17,825 : x
  2. Step 2: Convert to fraction form
    31,872.82/47,810.04 = 17,825/x
  3. Step 3: Cross multiply
    31,872.82x = 47,810.04 × 17,825
  4. Step 4: Simplify right side
    31,872.82x = 852,213,963
  5. Step 5: Solve for x
    x = 852,213,963/31,872.82
  6. Step 6: Final answer
    x = 26,737.95

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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.