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Finding the Fourth Proportional to 31,709.69, 43,758.83 and 17,562.23

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Solution

The fourth proportional to 31,709.69, 43,758.83 and 17,562.23 is: 24,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.69 : 43,758.83 = 17,562.23 : x
  2. Step 2: Convert to fraction form
    31,709.69/43,758.83 = 17,562.23/x
  3. Step 3: Cross multiply
    31,709.69x = 43,758.83 × 17,562.23
  4. Step 4: Simplify right side
    31,709.69x = 768,502,636.99
  5. Step 5: Solve for x
    x = 768,502,636.99/31,709.69
  6. Step 6: Final answer
    x = 24,235.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.