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Finding the Fourth Proportional to 53,509.40, 73,843.51 and 32,284.56

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Solution

The fourth proportional to 53,509.40, 73,843.51 and 32,284.56 is: 44,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,509.40 : 73,843.51 = 32,284.56 : x
  2. Step 2: Convert to fraction form
    53,509.40/73,843.51 = 32,284.56/x
  3. Step 3: Cross multiply
    53,509.40x = 73,843.51 × 32,284.56
  4. Step 4: Simplify right side
    53,509.40x = 2,384,005,229.21
  5. Step 5: Solve for x
    x = 2,384,005,229.21/53,509.40
  6. Step 6: Final answer
    x = 44,553.02

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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.