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Finding the Fourth Proportional to 37,606.71, 51,897.24 and 22,500

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Solution

The fourth proportional to 37,606.71, 51,897.24 and 22,500 is: 31,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,606.71 : 51,897.24 = 22,500 : x
  2. Step 2: Convert to fraction form
    37,606.71/51,897.24 = 22,500/x
  3. Step 3: Cross multiply
    37,606.71x = 51,897.24 × 22,500
  4. Step 4: Simplify right side
    37,606.71x = 1,167,687,900
  5. Step 5: Solve for x
    x = 1,167,687,900/37,606.71
  6. Step 6: Final answer
    x = 31,049.99

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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.