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Finding the Fourth Proportional to 37,570.32, 51,846.96 and 21,654.66

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Solution

The fourth proportional to 37,570.32, 51,846.96 and 21,654.66 is: 29,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,570.32 : 51,846.96 = 21,654.66 : x
  2. Step 2: Convert to fraction form
    37,570.32/51,846.96 = 21,654.66/x
  3. Step 3: Cross multiply
    37,570.32x = 51,846.96 × 21,654.66
  4. Step 4: Simplify right side
    37,570.32x = 1,122,728,290.83
  5. Step 5: Solve for x
    x = 1,122,728,290.83/37,570.32
  6. Step 6: Final answer
    x = 29,883.38

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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.