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Finding the Fourth Proportional to 31,553.25, 43,543.53 and 17,406.06

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Solution

The fourth proportional to 31,553.25, 43,543.53 and 17,406.06 is: 24,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.25 : 43,543.53 = 17,406.06 : x
  2. Step 2: Convert to fraction form
    31,553.25/43,543.53 = 17,406.06/x
  3. Step 3: Cross multiply
    31,553.25x = 43,543.53 × 17,406.06
  4. Step 4: Simplify right side
    31,553.25x = 757,921,295.79
  5. Step 5: Solve for x
    x = 757,921,295.79/31,553.25
  6. Step 6: Final answer
    x = 24,020.39

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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.