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Finding the Fourth Proportional to 32,092.13, 48,145.49 and 12,371.77

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Solution

The fourth proportional to 32,092.13, 48,145.49 and 12,371.77 is: 18,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.13 : 48,145.49 = 12,371.77 : x
  2. Step 2: Convert to fraction form
    32,092.13/48,145.49 = 12,371.77/x
  3. Step 3: Cross multiply
    32,092.13x = 48,145.49 × 12,371.77
  4. Step 4: Simplify right side
    32,092.13x = 595,644,973.53
  5. Step 5: Solve for x
    x = 595,644,973.53/32,092.13
  6. Step 6: Final answer
    x = 18,560.47

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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.