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Finding the Fourth Proportional to 73,157.52, 109,743.56 and 19,850.32

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Solution

The fourth proportional to 73,157.52, 109,743.56 and 19,850.32 is: 29,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,157.52 : 109,743.56 = 19,850.32 : x
  2. Step 2: Convert to fraction form
    73,157.52/109,743.56 = 19,850.32/x
  3. Step 3: Cross multiply
    73,157.52x = 109,743.56 × 19,850.32
  4. Step 4: Simplify right side
    73,157.52x = 2,178,444,783.94
  5. Step 5: Solve for x
    x = 2,178,444,783.94/73,157.52
  6. Step 6: Final answer
    x = 29,777.46

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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.