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Finding the Fourth Proportional to 57,937.82, 79,954.18 and 31,441.82

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Solution

The fourth proportional to 57,937.82, 79,954.18 and 31,441.82 is: 43,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,937.82 : 79,954.18 = 31,441.82 : x
  2. Step 2: Convert to fraction form
    57,937.82/79,954.18 = 31,441.82/x
  3. Step 3: Cross multiply
    57,937.82x = 79,954.18 × 31,441.82
  4. Step 4: Simplify right side
    57,937.82x = 2,513,904,536.04
  5. Step 5: Solve for x
    x = 2,513,904,536.04/57,937.82
  6. Step 6: Final answer
    x = 43,389.70

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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.