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Finding the Fourth Proportional to 31,755.24, 43,821 and 17,607.78

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Solution

The fourth proportional to 31,755.24, 43,821 and 17,607.78 is: 24,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.24 : 43,821 = 17,607.78 : x
  2. Step 2: Convert to fraction form
    31,755.24/43,821 = 17,607.78/x
  3. Step 3: Cross multiply
    31,755.24x = 43,821 × 17,607.78
  4. Step 4: Simplify right side
    31,755.24x = 771,590,527.38
  5. Step 5: Solve for x
    x = 771,590,527.38/31,755.24
  6. Step 6: Final answer
    x = 24,298.05

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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.