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Finding the Fourth Proportional to 37,646.83, 51,954.25 and 22,536.56

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Solution

The fourth proportional to 37,646.83, 51,954.25 and 22,536.56 is: 31,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.83 : 51,954.25 = 22,536.56 : x
  2. Step 2: Convert to fraction form
    37,646.83/51,954.25 = 22,536.56/x
  3. Step 3: Cross multiply
    37,646.83x = 51,954.25 × 22,536.56
  4. Step 4: Simplify right side
    37,646.83x = 1,170,870,072.38
  5. Step 5: Solve for x
    x = 1,170,870,072.38/37,646.83
  6. Step 6: Final answer
    x = 31,101.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.