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Finding the Fourth Proportional to 53,058.64, 73,231.32 and 30,412.81

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Solution

The fourth proportional to 53,058.64, 73,231.32 and 30,412.81 is: 41,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,058.64 : 73,231.32 = 30,412.81 : x
  2. Step 2: Convert to fraction form
    53,058.64/73,231.32 = 30,412.81/x
  3. Step 3: Cross multiply
    53,058.64x = 73,231.32 × 30,412.81
  4. Step 4: Simplify right side
    53,058.64x = 2,227,170,221.21
  5. Step 5: Solve for x
    x = 2,227,170,221.21/53,058.64
  6. Step 6: Final answer
    x = 41,975.64

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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.