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Finding the Fourth Proportional to 32,964.99, 49,447.11 and 8,005.32

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Solution

The fourth proportional to 32,964.99, 49,447.11 and 8,005.32 is: 12,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.99 : 49,447.11 = 8,005.32 : x
  2. Step 2: Convert to fraction form
    32,964.99/49,447.11 = 8,005.32/x
  3. Step 3: Cross multiply
    32,964.99x = 49,447.11 × 8,005.32
  4. Step 4: Simplify right side
    32,964.99x = 395,839,938.63
  5. Step 5: Solve for x
    x = 395,839,938.63/32,964.99
  6. Step 6: Final answer
    x = 12,007.89

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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.