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Finding the Fourth Proportional to 92,233.68, 138,369 and 33,073.96

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Solution

The fourth proportional to 92,233.68, 138,369 and 33,073.96 is: 49,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,233.68 : 138,369 = 33,073.96 : x
  2. Step 2: Convert to fraction form
    92,233.68/138,369 = 33,073.96/x
  3. Step 3: Cross multiply
    92,233.68x = 138,369 × 33,073.96
  4. Step 4: Simplify right side
    92,233.68x = 4,576,410,771.24
  5. Step 5: Solve for x
    x = 4,576,410,771.24/92,233.68
  6. Step 6: Final answer
    x = 49,617.57

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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.