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Finding the Fourth Proportional to 31,283.59, 43,172.05 and 17,854.57

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Solution

The fourth proportional to 31,283.59, 43,172.05 and 17,854.57 is: 24,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.59 : 43,172.05 = 17,854.57 : x
  2. Step 2: Convert to fraction form
    31,283.59/43,172.05 = 17,854.57/x
  3. Step 3: Cross multiply
    31,283.59x = 43,172.05 × 17,854.57
  4. Step 4: Simplify right side
    31,283.59x = 770,818,431.57
  5. Step 5: Solve for x
    x = 770,818,431.57/31,283.59
  6. Step 6: Final answer
    x = 24,639.71

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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.