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Finding the Fourth Proportional to 73,147.54, 109,725.09 and 23,231.53

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Solution

The fourth proportional to 73,147.54, 109,725.09 and 23,231.53 is: 34,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147.54 : 109,725.09 = 23,231.53 : x
  2. Step 2: Convert to fraction form
    73,147.54/109,725.09 = 23,231.53/x
  3. Step 3: Cross multiply
    73,147.54x = 109,725.09 × 23,231.53
  4. Step 4: Simplify right side
    73,147.54x = 2,549,081,720.09
  5. Step 5: Solve for x
    x = 2,549,081,720.09/73,147.54
  6. Step 6: Final answer
    x = 34,848.50

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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.