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Finding the Fourth Proportional to 37,672.50, 56,507.39 and 11,376.57

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Solution

The fourth proportional to 37,672.50, 56,507.39 and 11,376.57 is: 17,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672.50 : 56,507.39 = 11,376.57 : x
  2. Step 2: Convert to fraction form
    37,672.50/56,507.39 = 11,376.57/x
  3. Step 3: Cross multiply
    37,672.50x = 56,507.39 × 11,376.57
  4. Step 4: Simplify right side
    37,672.50x = 642,860,220.97
  5. Step 5: Solve for x
    x = 642,860,220.97/37,672.50
  6. Step 6: Final answer
    x = 17,064.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.