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Finding the Fourth Proportional to 32,214.46, 48,282.03 and 15,356.34

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Solution

The fourth proportional to 32,214.46, 48,282.03 and 15,356.34 is: 23,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.46 : 48,282.03 = 15,356.34 : x
  2. Step 2: Convert to fraction form
    32,214.46/48,282.03 = 15,356.34/x
  3. Step 3: Cross multiply
    32,214.46x = 48,282.03 × 15,356.34
  4. Step 4: Simplify right side
    32,214.46x = 741,435,268.57
  5. Step 5: Solve for x
    x = 741,435,268.57/32,214.46
  6. Step 6: Final answer
    x = 23,015.60

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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.