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Finding the Fourth Proportional to 32,884.74, 49,322.46 and 10,698.48

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Solution

The fourth proportional to 32,884.74, 49,322.46 and 10,698.48 is: 16,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.74 : 49,322.46 = 10,698.48 : x
  2. Step 2: Convert to fraction form
    32,884.74/49,322.46 = 10,698.48/x
  3. Step 3: Cross multiply
    32,884.74x = 49,322.46 × 10,698.48
  4. Step 4: Simplify right side
    32,884.74x = 527,675,351.86
  5. Step 5: Solve for x
    x = 527,675,351.86/32,884.74
  6. Step 6: Final answer
    x = 16,046.21

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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.