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Finding the Fourth Proportional to 32,044.93, 48,067.51 and 9,858.15

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Solution

The fourth proportional to 32,044.93, 48,067.51 and 9,858.15 is: 14,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.93 : 48,067.51 = 9,858.15 : x
  2. Step 2: Convert to fraction form
    32,044.93/48,067.51 = 9,858.15/x
  3. Step 3: Cross multiply
    32,044.93x = 48,067.51 × 9,858.15
  4. Step 4: Simplify right side
    32,044.93x = 473,856,554.25
  5. Step 5: Solve for x
    x = 473,856,554.25/32,044.93
  6. Step 6: Final answer
    x = 14,787.26

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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.