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Finding the Fourth Proportional to 53,201.56, 73,420.89 and 30,540.40

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Solution

The fourth proportional to 53,201.56, 73,420.89 and 30,540.40 is: 42,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201.56 : 73,420.89 = 30,540.40 : x
  2. Step 2: Convert to fraction form
    53,201.56/73,420.89 = 30,540.40/x
  3. Step 3: Cross multiply
    53,201.56x = 73,420.89 × 30,540.40
  4. Step 4: Simplify right side
    53,201.56x = 2,242,303,348.96
  5. Step 5: Solve for x
    x = 2,242,303,348.96/53,201.56
  6. Step 6: Final answer
    x = 42,147.32

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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.