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Finding the Fourth Proportional to 32,067.78, 48,109.26 and 11,008.08

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Solution

The fourth proportional to 32,067.78, 48,109.26 and 11,008.08 is: 16,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.78 : 48,109.26 = 11,008.08 : x
  2. Step 2: Convert to fraction form
    32,067.78/48,109.26 = 11,008.08/x
  3. Step 3: Cross multiply
    32,067.78x = 48,109.26 × 11,008.08
  4. Step 4: Simplify right side
    32,067.78x = 529,590,582.82
  5. Step 5: Solve for x
    x = 529,590,582.82/32,067.78
  6. Step 6: Final answer
    x = 16,514.73

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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.