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Finding the Fourth Proportional to 31,886.23, 44,003.01 and 17,738.77

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Solution

The fourth proportional to 31,886.23, 44,003.01 and 17,738.77 is: 24,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.23 : 44,003.01 = 17,738.77 : x
  2. Step 2: Convert to fraction form
    31,886.23/44,003.01 = 17,738.77/x
  3. Step 3: Cross multiply
    31,886.23x = 44,003.01 × 17,738.77
  4. Step 4: Simplify right side
    31,886.23x = 780,559,273.70
  5. Step 5: Solve for x
    x = 780,559,273.70/31,886.23
  6. Step 6: Final answer
    x = 24,479.51

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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.