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Finding the Fourth Proportional to 73,761.92, 110,653.76 and 23,825.36

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Solution

The fourth proportional to 73,761.92, 110,653.76 and 23,825.36 is: 35,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,761.92 : 110,653.76 = 23,825.36 : x
  2. Step 2: Convert to fraction form
    73,761.92/110,653.76 = 23,825.36/x
  3. Step 3: Cross multiply
    73,761.92x = 110,653.76 × 23,825.36
  4. Step 4: Simplify right side
    73,761.92x = 2,636,365,667.35
  5. Step 5: Solve for x
    x = 2,636,365,667.35/73,761.92
  6. Step 6: Final answer
    x = 35,741.55

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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.