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Finding the Fourth Proportional to 37,573.56, 51,847.14 and 21,657.90

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Solution

The fourth proportional to 37,573.56, 51,847.14 and 21,657.90 is: 29,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573.56 : 51,847.14 = 21,657.90 : x
  2. Step 2: Convert to fraction form
    37,573.56/51,847.14 = 21,657.90/x
  3. Step 3: Cross multiply
    37,573.56x = 51,847.14 × 21,657.90
  4. Step 4: Simplify right side
    37,573.56x = 1,122,900,173.41
  5. Step 5: Solve for x
    x = 1,122,900,173.41/37,573.56
  6. Step 6: Final answer
    x = 29,885.38

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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.