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Finding the Fourth Proportional to 32,282.15, 48,410.46 and 12,557.84

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Solution

The fourth proportional to 32,282.15, 48,410.46 and 12,557.84 is: 18,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.15 : 48,410.46 = 12,557.84 : x
  2. Step 2: Convert to fraction form
    32,282.15/48,410.46 = 12,557.84/x
  3. Step 3: Cross multiply
    32,282.15x = 48,410.46 × 12,557.84
  4. Step 4: Simplify right side
    32,282.15x = 607,930,568.95
  5. Step 5: Solve for x
    x = 607,930,568.95/32,282.15
  6. Step 6: Final answer
    x = 18,831.79

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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.