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Finding the Fourth Proportional to 37,997.64, 52,437.78 and 21,231.72

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Solution

The fourth proportional to 37,997.64, 52,437.78 and 21,231.72 is: 29,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,997.64 : 52,437.78 = 21,231.72 : x
  2. Step 2: Convert to fraction form
    37,997.64/52,437.78 = 21,231.72/x
  3. Step 3: Cross multiply
    37,997.64x = 52,437.78 × 21,231.72
  4. Step 4: Simplify right side
    37,997.64x = 1,113,344,262.38
  5. Step 5: Solve for x
    x = 1,113,344,262.38/37,997.64
  6. Step 6: Final answer
    x = 29,300.35

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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.