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Finding the Fourth Proportional to 32,444.55, 48,673.31 and 13,724.50

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Solution

The fourth proportional to 32,444.55, 48,673.31 and 13,724.50 is: 20,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,444.55 : 48,673.31 = 13,724.50 : x
  2. Step 2: Convert to fraction form
    32,444.55/48,673.31 = 13,724.50/x
  3. Step 3: Cross multiply
    32,444.55x = 48,673.31 × 13,724.50
  4. Step 4: Simplify right side
    32,444.55x = 668,016,843.10
  5. Step 5: Solve for x
    x = 668,016,843.10/32,444.55
  6. Step 6: Final answer
    x = 20,589.49

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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.