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Finding the Fourth Proportional to 53,435.68, 73,743.92 and 32,221.76

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Solution

The fourth proportional to 53,435.68, 73,743.92 and 32,221.76 is: 44,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,435.68 : 73,743.92 = 32,221.76 : x
  2. Step 2: Convert to fraction form
    53,435.68/73,743.92 = 32,221.76/x
  3. Step 3: Cross multiply
    53,435.68x = 73,743.92 × 32,221.76
  4. Step 4: Simplify right side
    53,435.68x = 2,376,158,891.70
  5. Step 5: Solve for x
    x = 2,376,158,891.70/53,435.68
  6. Step 6: Final answer
    x = 44,467.65

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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.