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Finding the Fourth Proportional to 32,641.27, 48,965.31 and 13,923.28

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Solution

The fourth proportional to 32,641.27, 48,965.31 and 13,923.28 is: 20,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.27 : 48,965.31 = 13,923.28 : x
  2. Step 2: Convert to fraction form
    32,641.27/48,965.31 = 13,923.28/x
  3. Step 3: Cross multiply
    32,641.27x = 48,965.31 × 13,923.28
  4. Step 4: Simplify right side
    32,641.27x = 681,757,782.62
  5. Step 5: Solve for x
    x = 681,757,782.62/32,641.27
  6. Step 6: Final answer
    x = 20,886.38

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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.