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Finding the Fourth Proportional to 63,202.86, 94,809.96 and 16,456.14

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Solution

The fourth proportional to 63,202.86, 94,809.96 and 16,456.14 is: 24,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,202.86 : 94,809.96 = 16,456.14 : x
  2. Step 2: Convert to fraction form
    63,202.86/94,809.96 = 16,456.14/x
  3. Step 3: Cross multiply
    63,202.86x = 94,809.96 × 16,456.14
  4. Step 4: Simplify right side
    63,202.86x = 1,560,205,975.15
  5. Step 5: Solve for x
    x = 1,560,205,975.15/63,202.86
  6. Step 6: Final answer
    x = 24,685.69

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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.