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Finding the Fourth Proportional to 31,710.42, 43,763.22 and 17,567.82

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Solution

The fourth proportional to 31,710.42, 43,763.22 and 17,567.82 is: 24,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.42 : 43,763.22 = 17,567.82 : x
  2. Step 2: Convert to fraction form
    31,710.42/43,763.22 = 17,567.82/x
  3. Step 3: Cross multiply
    31,710.42x = 43,763.22 × 17,567.82
  4. Step 4: Simplify right side
    31,710.42x = 768,824,371.58
  5. Step 5: Solve for x
    x = 768,824,371.58/31,710.42
  6. Step 6: Final answer
    x = 24,245.17

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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.