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Finding the Fourth Proportional to 31,657.91, 43,887.69 and 29,972.57

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Solution

The fourth proportional to 31,657.91, 43,887.69 and 29,972.57 is: 41,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.91 : 43,887.69 = 29,972.57 : x
  2. Step 2: Convert to fraction form
    31,657.91/43,887.69 = 29,972.57/x
  3. Step 3: Cross multiply
    31,657.91x = 43,887.69 × 29,972.57
  4. Step 4: Simplify right side
    31,657.91x = 1,315,426,641.22
  5. Step 5: Solve for x
    x = 1,315,426,641.22/31,657.91
  6. Step 6: Final answer
    x = 41,551.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.