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Finding the Fourth Proportional to 53,205.96, 73,424.23 and 30,546.42

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Solution

The fourth proportional to 53,205.96, 73,424.23 and 30,546.42 is: 42,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.96 : 73,424.23 = 30,546.42 : x
  2. Step 2: Convert to fraction form
    53,205.96/73,424.23 = 30,546.42/x
  3. Step 3: Cross multiply
    53,205.96x = 73,424.23 × 30,546.42
  4. Step 4: Simplify right side
    53,205.96x = 2,242,847,367.76
  5. Step 5: Solve for x
    x = 2,242,847,367.76/53,205.96
  6. Step 6: Final answer
    x = 42,154.06

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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.