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Finding the Fourth Proportional to 32,449.86, 48,665.07 and 11,668.50

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Solution

The fourth proportional to 32,449.86, 48,665.07 and 11,668.50 is: 17,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.86 : 48,665.07 = 11,668.50 : x
  2. Step 2: Convert to fraction form
    32,449.86/48,665.07 = 11,668.50/x
  3. Step 3: Cross multiply
    32,449.86x = 48,665.07 × 11,668.50
  4. Step 4: Simplify right side
    32,449.86x = 567,848,369.30
  5. Step 5: Solve for x
    x = 567,848,369.30/32,449.86
  6. Step 6: Final answer
    x = 17,499.25

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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.