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Finding the Fourth Proportional to 53,494.49, 73,822.26 and 30,833.30

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Solution

The fourth proportional to 53,494.49, 73,822.26 and 30,833.30 is: 42,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494.49 : 73,822.26 = 30,833.30 : x
  2. Step 2: Convert to fraction form
    53,494.49/73,822.26 = 30,833.30/x
  3. Step 3: Cross multiply
    53,494.49x = 73,822.26 × 30,833.30
  4. Step 4: Simplify right side
    53,494.49x = 2,276,183,583.66
  5. Step 5: Solve for x
    x = 2,276,183,583.66/53,494.49
  6. Step 6: Final answer
    x = 42,549.87

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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.