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Finding the Fourth Proportional to 37,129.54, 51,241.48 and 21,213.65

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Solution

The fourth proportional to 37,129.54, 51,241.48 and 21,213.65 is: 29,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.54 : 51,241.48 = 21,213.65 : x
  2. Step 2: Convert to fraction form
    37,129.54/51,241.48 = 21,213.65/x
  3. Step 3: Cross multiply
    37,129.54x = 51,241.48 × 21,213.65
  4. Step 4: Simplify right side
    37,129.54x = 1,087,018,512.96
  5. Step 5: Solve for x
    x = 1,087,018,512.96/37,129.54
  6. Step 6: Final answer
    x = 29,276.38

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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.