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Finding the Fourth Proportional to 32,652.84, 48,979.08 and 8,028.84

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Solution

The fourth proportional to 32,652.84, 48,979.08 and 8,028.84 is: 12,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.84 : 48,979.08 = 8,028.84 : x
  2. Step 2: Convert to fraction form
    32,652.84/48,979.08 = 8,028.84/x
  3. Step 3: Cross multiply
    32,652.84x = 48,979.08 × 8,028.84
  4. Step 4: Simplify right side
    32,652.84x = 393,245,196.67
  5. Step 5: Solve for x
    x = 393,245,196.67/32,652.84
  6. Step 6: Final answer
    x = 12,043.22

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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.