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Finding the Fourth Proportional to 31,196.98, 43,053.91 and 17,588.38

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Solution

The fourth proportional to 31,196.98, 43,053.91 and 17,588.38 is: 24,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.98 : 43,053.91 = 17,588.38 : x
  2. Step 2: Convert to fraction form
    31,196.98/43,053.91 = 17,588.38/x
  3. Step 3: Cross multiply
    31,196.98x = 43,053.91 × 17,588.38
  4. Step 4: Simplify right side
    31,196.98x = 757,248,529.57
  5. Step 5: Solve for x
    x = 757,248,529.57/31,196.98
  6. Step 6: Final answer
    x = 24,273.14

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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.