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Finding the Fourth Proportional to 31,888.38, 44,000.79 and 17,740.86

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Solution

The fourth proportional to 31,888.38, 44,000.79 and 17,740.86 is: 24,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.38 : 44,000.79 = 17,740.86 : x
  2. Step 2: Convert to fraction form
    31,888.38/44,000.79 = 17,740.86/x
  3. Step 3: Cross multiply
    31,888.38x = 44,000.79 × 17,740.86
  4. Step 4: Simplify right side
    31,888.38x = 780,611,855.28
  5. Step 5: Solve for x
    x = 780,611,855.28/31,888.38
  6. Step 6: Final answer
    x = 24,479.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.