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Finding the Fourth Proportional to 31,911.93, 44,040 and 17,764.77

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Solution

The fourth proportional to 31,911.93, 44,040 and 17,764.77 is: 24,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.93 : 44,040 = 17,764.77 : x
  2. Step 2: Convert to fraction form
    31,911.93/44,040 = 17,764.77/x
  3. Step 3: Cross multiply
    31,911.93x = 44,040 × 17,764.77
  4. Step 4: Simplify right side
    31,911.93x = 782,360,470.80
  5. Step 5: Solve for x
    x = 782,360,470.80/31,911.93
  6. Step 6: Final answer
    x = 24,516.24

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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.