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Finding the Fourth Proportional to 32,564.52, 48,832.20 and 11,500.20

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Solution

The fourth proportional to 32,564.52, 48,832.20 and 11,500.20 is: 17,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.52 : 48,832.20 = 11,500.20 : x
  2. Step 2: Convert to fraction form
    32,564.52/48,832.20 = 11,500.20/x
  3. Step 3: Cross multiply
    32,564.52x = 48,832.20 × 11,500.20
  4. Step 4: Simplify right side
    32,564.52x = 561,580,066.44
  5. Step 5: Solve for x
    x = 561,580,066.44/32,564.52
  6. Step 6: Final answer
    x = 17,245.15

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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.