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Finding the Fourth Proportional to 37,493.51, 51,733.90 and 22,182.46

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Solution

The fourth proportional to 37,493.51, 51,733.90 and 22,182.46 is: 30,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,493.51 : 51,733.90 = 22,182.46 : x
  2. Step 2: Convert to fraction form
    37,493.51/51,733.90 = 22,182.46/x
  3. Step 3: Cross multiply
    37,493.51x = 51,733.90 × 22,182.46
  4. Step 4: Simplify right side
    37,493.51x = 1,147,585,204.38
  5. Step 5: Solve for x
    x = 1,147,585,204.38/37,493.51
  6. Step 6: Final answer
    x = 30,607.57

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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.