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Finding the Fourth Proportional to 37,176.66, 51,296.22 and 21,266.46

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Solution

The fourth proportional to 37,176.66, 51,296.22 and 21,266.46 is: 29,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.66 : 51,296.22 = 21,266.46 : x
  2. Step 2: Convert to fraction form
    37,176.66/51,296.22 = 21,266.46/x
  3. Step 3: Cross multiply
    37,176.66x = 51,296.22 × 21,266.46
  4. Step 4: Simplify right side
    37,176.66x = 1,090,889,010.78
  5. Step 5: Solve for x
    x = 1,090,889,010.78/37,176.66
  6. Step 6: Final answer
    x = 29,343.38

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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.