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Finding the Fourth Proportional to 31,916.10, 44,043.03 and 17,768.64

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Solution

The fourth proportional to 31,916.10, 44,043.03 and 17,768.64 is: 24,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.10 : 44,043.03 = 17,768.64 : x
  2. Step 2: Convert to fraction form
    31,916.10/44,043.03 = 17,768.64/x
  3. Step 3: Cross multiply
    31,916.10x = 44,043.03 × 17,768.64
  4. Step 4: Simplify right side
    31,916.10x = 782,584,744.58
  5. Step 5: Solve for x
    x = 782,584,744.58/31,916.10
  6. Step 6: Final answer
    x = 24,520.06

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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.