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Finding the Fourth Proportional to 37,128.35, 51,232.40 and 21,213.83

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Solution

The fourth proportional to 37,128.35, 51,232.40 and 21,213.83 is: 29,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128.35 : 51,232.40 = 21,213.83 : x
  2. Step 2: Convert to fraction form
    37,128.35/51,232.40 = 21,213.83/x
  3. Step 3: Cross multiply
    37,128.35x = 51,232.40 × 21,213.83
  4. Step 4: Simplify right side
    37,128.35x = 1,086,835,424.09
  5. Step 5: Solve for x
    x = 1,086,835,424.09/37,128.35
  6. Step 6: Final answer
    x = 29,272.39

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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.