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Finding the Fourth Proportional to 53,494.20, 73,803.83 and 30,832.47

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Solution

The fourth proportional to 53,494.20, 73,803.83 and 30,832.47 is: 42,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494.20 : 73,803.83 = 30,832.47 : x
  2. Step 2: Convert to fraction form
    53,494.20/73,803.83 = 30,832.47/x
  3. Step 3: Cross multiply
    53,494.20x = 73,803.83 × 30,832.47
  4. Step 4: Simplify right side
    53,494.20x = 2,275,554,220.20
  5. Step 5: Solve for x
    x = 2,275,554,220.20/53,494.20
  6. Step 6: Final answer
    x = 42,538.34

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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.