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Finding the Fourth Proportional to 53,032.73, 73,219.14 and 32,919.21

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Solution

The fourth proportional to 53,032.73, 73,219.14 and 32,919.21 is: 45,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,032.73 : 73,219.14 = 32,919.21 : x
  2. Step 2: Convert to fraction form
    53,032.73/73,219.14 = 32,919.21/x
  3. Step 3: Cross multiply
    53,032.73x = 73,219.14 × 32,919.21
  4. Step 4: Simplify right side
    53,032.73x = 2,410,316,245.68
  5. Step 5: Solve for x
    x = 2,410,316,245.68/53,032.73
  6. Step 6: Final answer
    x = 45,449.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.