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Finding the Fourth Proportional to 31,886.16, 44,002.74 and 17,739

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Solution

The fourth proportional to 31,886.16, 44,002.74 and 17,739 is: 24,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.16 : 44,002.74 = 17,739 : x
  2. Step 2: Convert to fraction form
    31,886.16/44,002.74 = 17,739/x
  3. Step 3: Cross multiply
    31,886.16x = 44,002.74 × 17,739
  4. Step 4: Simplify right side
    31,886.16x = 780,564,604.86
  5. Step 5: Solve for x
    x = 780,564,604.86/31,886.16
  6. Step 6: Final answer
    x = 24,479.73

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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.