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Finding the Fourth Proportional to 32,057.62, 48,086.43 and 8,684.05

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Solution

The fourth proportional to 32,057.62, 48,086.43 and 8,684.05 is: 13,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.62 : 48,086.43 = 8,684.05 : x
  2. Step 2: Convert to fraction form
    32,057.62/48,086.43 = 8,684.05/x
  3. Step 3: Cross multiply
    32,057.62x = 48,086.43 × 8,684.05
  4. Step 4: Simplify right side
    32,057.62x = 417,584,962.44
  5. Step 5: Solve for x
    x = 417,584,962.44/32,057.62
  6. Step 6: Final answer
    x = 13,026.08

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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.