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Finding the Fourth Proportional to 31,726.69, 43,783.74 and 17,580.44

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Solution

The fourth proportional to 31,726.69, 43,783.74 and 17,580.44 is: 24,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.69 : 43,783.74 = 17,580.44 : x
  2. Step 2: Convert to fraction form
    31,726.69/43,783.74 = 17,580.44/x
  3. Step 3: Cross multiply
    31,726.69x = 43,783.74 × 17,580.44
  4. Step 4: Simplify right side
    31,726.69x = 769,737,523.50
  5. Step 5: Solve for x
    x = 769,737,523.50/31,726.69
  6. Step 6: Final answer
    x = 24,261.52

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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.