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Finding the Fourth Proportional to 37,914.54, 56,871.84 and 10,212.54

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Solution

The fourth proportional to 37,914.54, 56,871.84 and 10,212.54 is: 15,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,914.54 : 56,871.84 = 10,212.54 : x
  2. Step 2: Convert to fraction form
    37,914.54/56,871.84 = 10,212.54/x
  3. Step 3: Cross multiply
    37,914.54x = 56,871.84 × 10,212.54
  4. Step 4: Simplify right side
    37,914.54x = 580,805,940.87
  5. Step 5: Solve for x
    x = 580,805,940.87/37,914.54
  6. Step 6: Final answer
    x = 15,318.82

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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.