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Finding the Fourth Proportional to 31,577.38, 43,577.38 and 17,429.92

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Solution

The fourth proportional to 31,577.38, 43,577.38 and 17,429.92 is: 24,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577.38 : 43,577.38 = 17,429.92 : x
  2. Step 2: Convert to fraction form
    31,577.38/43,577.38 = 17,429.92/x
  3. Step 3: Cross multiply
    31,577.38x = 43,577.38 × 17,429.92
  4. Step 4: Simplify right side
    31,577.38x = 759,550,247.21
  5. Step 5: Solve for x
    x = 759,550,247.21/31,577.38
  6. Step 6: Final answer
    x = 24,053.62

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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.