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Finding the Fourth Proportional to 31,544.87, 43,531.85 and 18,117

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Solution

The fourth proportional to 31,544.87, 43,531.85 and 18,117 is: 25,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544.87 : 43,531.85 = 18,117 : x
  2. Step 2: Convert to fraction form
    31,544.87/43,531.85 = 18,117/x
  3. Step 3: Cross multiply
    31,544.87x = 43,531.85 × 18,117
  4. Step 4: Simplify right side
    31,544.87x = 788,666,571.74
  5. Step 5: Solve for x
    x = 788,666,571.74/31,544.87
  6. Step 6: Final answer
    x = 25,001.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.