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Finding the Fourth Proportional to 54,548.96, 81,832.16 and 19,020.51

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Solution

The fourth proportional to 54,548.96, 81,832.16 and 19,020.51 is: 28,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.96 : 81,832.16 = 19,020.51 : x
  2. Step 2: Convert to fraction form
    54,548.96/81,832.16 = 19,020.51/x
  3. Step 3: Cross multiply
    54,548.96x = 81,832.16 × 19,020.51
  4. Step 4: Simplify right side
    54,548.96x = 1,556,489,322.50
  5. Step 5: Solve for x
    x = 1,556,489,322.50/54,548.96
  6. Step 6: Final answer
    x = 28,533.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.