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Finding the Fourth Proportional to 31,913.60, 44,040.74 and 17,769.78

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Solution

The fourth proportional to 31,913.60, 44,040.74 and 17,769.78 is: 24,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.60 : 44,040.74 = 17,769.78 : x
  2. Step 2: Convert to fraction form
    31,913.60/44,040.74 = 17,769.78/x
  3. Step 3: Cross multiply
    31,913.60x = 44,040.74 × 17,769.78
  4. Step 4: Simplify right side
    31,913.60x = 782,594,260.84
  5. Step 5: Solve for x
    x = 782,594,260.84/31,913.60
  6. Step 6: Final answer
    x = 24,522.28

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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.