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Finding the Fourth Proportional to 32,697.84, 49,046.88 and 8,073.84

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Solution

The fourth proportional to 32,697.84, 49,046.88 and 8,073.84 is: 12,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.84 : 49,046.88 = 8,073.84 : x
  2. Step 2: Convert to fraction form
    32,697.84/49,046.88 = 8,073.84/x
  3. Step 3: Cross multiply
    32,697.84x = 49,046.88 × 8,073.84
  4. Step 4: Simplify right side
    32,697.84x = 395,996,661.62
  5. Step 5: Solve for x
    x = 395,996,661.62/32,697.84
  6. Step 6: Final answer
    x = 12,110.79

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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.