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Finding the Fourth Proportional to 37,529.88, 51,791.26 and 21,614

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Solution

The fourth proportional to 37,529.88, 51,791.26 and 21,614 is: 29,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,529.88 : 51,791.26 = 21,614 : x
  2. Step 2: Convert to fraction form
    37,529.88/51,791.26 = 21,614/x
  3. Step 3: Cross multiply
    37,529.88x = 51,791.26 × 21,614
  4. Step 4: Simplify right side
    37,529.88x = 1,119,416,293.64
  5. Step 5: Solve for x
    x = 1,119,416,293.64/37,529.88
  6. Step 6: Final answer
    x = 29,827.33

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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.