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Finding the Fourth Proportional to 63,057.21, 94,644.86 and 31,914.33

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Solution

The fourth proportional to 63,057.21, 94,644.86 and 31,914.33 is: 47,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,057.21 : 94,644.86 = 31,914.33 : x
  2. Step 2: Convert to fraction form
    63,057.21/94,644.86 = 31,914.33/x
  3. Step 3: Cross multiply
    63,057.21x = 94,644.86 × 31,914.33
  4. Step 4: Simplify right side
    63,057.21x = 3,020,527,135.27
  5. Step 5: Solve for x
    x = 3,020,527,135.27/63,057.21
  6. Step 6: Final answer
    x = 47,901.38

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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.