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Finding the Fourth Proportional to 37,111.96, 51,213.50 and 21,193.88

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Solution

The fourth proportional to 37,111.96, 51,213.50 and 21,193.88 is: 29,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,111.96 : 51,213.50 = 21,193.88 : x
  2. Step 2: Convert to fraction form
    37,111.96/51,213.50 = 21,193.88/x
  3. Step 3: Cross multiply
    37,111.96x = 51,213.50 × 21,193.88
  4. Step 4: Simplify right side
    37,111.96x = 1,085,412,773.38
  5. Step 5: Solve for x
    x = 1,085,412,773.38/37,111.96
  6. Step 6: Final answer
    x = 29,246.98

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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.