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Finding the Fourth Proportional to 37,123.20, 51,233.64 and 21,208.92

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Solution

The fourth proportional to 37,123.20, 51,233.64 and 21,208.92 is: 29,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,123.20 : 51,233.64 = 21,208.92 : x
  2. Step 2: Convert to fraction form
    37,123.20/51,233.64 = 21,208.92/x
  3. Step 3: Cross multiply
    37,123.20x = 51,233.64 × 21,208.92
  4. Step 4: Simplify right side
    37,123.20x = 1,086,610,172.07
  5. Step 5: Solve for x
    x = 1,086,610,172.07/37,123.20
  6. Step 6: Final answer
    x = 29,270.38

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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.