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Finding the Fourth Proportional to 32,044.47, 48,067.44 and 9,858.03

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Solution

The fourth proportional to 32,044.47, 48,067.44 and 9,858.03 is: 14,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.47 : 48,067.44 = 9,858.03 : x
  2. Step 2: Convert to fraction form
    32,044.47/48,067.44 = 9,858.03/x
  3. Step 3: Cross multiply
    32,044.47x = 48,067.44 × 9,858.03
  4. Step 4: Simplify right side
    32,044.47x = 473,850,265.54
  5. Step 5: Solve for x
    x = 473,850,265.54/32,044.47
  6. Step 6: Final answer
    x = 14,787.27

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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.