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Finding the Fourth Proportional to 32,067.84, 48,087.96 and 11,009.88

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Solution

The fourth proportional to 32,067.84, 48,087.96 and 11,009.88 is: 16,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.84 : 48,087.96 = 11,009.88 : x
  2. Step 2: Convert to fraction form
    32,067.84/48,087.96 = 11,009.88/x
  3. Step 3: Cross multiply
    32,067.84x = 48,087.96 × 11,009.88
  4. Step 4: Simplify right side
    32,067.84x = 529,442,669.04
  5. Step 5: Solve for x
    x = 529,442,669.04/32,067.84
  6. Step 6: Final answer
    x = 16,510.08

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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.