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Finding the Fourth Proportional to 32,656, 48,984.24 and 8,032

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Solution

The fourth proportional to 32,656, 48,984.24 and 8,032 is: 12,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656 : 48,984.24 = 8,032 : x
  2. Step 2: Convert to fraction form
    32,656/48,984.24 = 8,032/x
  3. Step 3: Cross multiply
    32,656x = 48,984.24 × 8,032
  4. Step 4: Simplify right side
    32,656x = 393,441,415.68
  5. Step 5: Solve for x
    x = 393,441,415.68/32,656
  6. Step 6: Final answer
    x = 12,048.06

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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.