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Finding the Fourth Proportional to 32,192.52, 48,272.31 and 14,647.38

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Solution

The fourth proportional to 32,192.52, 48,272.31 and 14,647.38 is: 21,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.52 : 48,272.31 = 14,647.38 : x
  2. Step 2: Convert to fraction form
    32,192.52/48,272.31 = 14,647.38/x
  3. Step 3: Cross multiply
    32,192.52x = 48,272.31 × 14,647.38
  4. Step 4: Simplify right side
    32,192.52x = 707,062,868.05
  5. Step 5: Solve for x
    x = 707,062,868.05/32,192.52
  6. Step 6: Final answer
    x = 21,963.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.