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Finding the Fourth Proportional to 31,810.26, 47,712.15 and 8,439.06

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Solution

The fourth proportional to 31,810.26, 47,712.15 and 8,439.06 is: 12,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.26 : 47,712.15 = 8,439.06 : x
  2. Step 2: Convert to fraction form
    31,810.26/47,712.15 = 8,439.06/x
  3. Step 3: Cross multiply
    31,810.26x = 47,712.15 × 8,439.06
  4. Step 4: Simplify right side
    31,810.26x = 402,645,696.58
  5. Step 5: Solve for x
    x = 402,645,696.58/31,810.26
  6. Step 6: Final answer
    x = 12,657.73

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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.