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Finding the Fourth Proportional to 37,658.22, 51,972.48 and 21,747.66

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Solution

The fourth proportional to 37,658.22, 51,972.48 and 21,747.66 is: 30,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.22 : 51,972.48 = 21,747.66 : x
  2. Step 2: Convert to fraction form
    37,658.22/51,972.48 = 21,747.66/x
  3. Step 3: Cross multiply
    37,658.22x = 51,972.48 × 21,747.66
  4. Step 4: Simplify right side
    37,658.22x = 1,130,279,824.40
  5. Step 5: Solve for x
    x = 1,130,279,824.40/37,658.22
  6. Step 6: Final answer
    x = 30,014.16

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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.