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Finding the Fourth Proportional to 32,282.60, 48,431.70 and 11,219.58

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Solution

The fourth proportional to 32,282.60, 48,431.70 and 11,219.58 is: 16,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.60 : 48,431.70 = 11,219.58 : x
  2. Step 2: Convert to fraction form
    32,282.60/48,431.70 = 11,219.58/x
  3. Step 3: Cross multiply
    32,282.60x = 48,431.70 × 11,219.58
  4. Step 4: Simplify right side
    32,282.60x = 543,383,332.69
  5. Step 5: Solve for x
    x = 543,383,332.69/32,282.60
  6. Step 6: Final answer
    x = 16,832.08

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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.