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Finding the Fourth Proportional to 31,409.91, 43,348.72 and 17,983.08

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Solution

The fourth proportional to 31,409.91, 43,348.72 and 17,983.08 is: 24,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.91 : 43,348.72 = 17,983.08 : x
  2. Step 2: Convert to fraction form
    31,409.91/43,348.72 = 17,983.08/x
  3. Step 3: Cross multiply
    31,409.91x = 43,348.72 × 17,983.08
  4. Step 4: Simplify right side
    31,409.91x = 779,543,499.66
  5. Step 5: Solve for x
    x = 779,543,499.66/31,409.91
  6. Step 6: Final answer
    x = 24,818.39

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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.