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Finding the Fourth Proportional to 77,672.41, 116,489.32 and 33,294.13

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Solution

The fourth proportional to 77,672.41, 116,489.32 and 33,294.13 is: 49,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.41 : 116,489.32 = 33,294.13 : x
  2. Step 2: Convert to fraction form
    77,672.41/116,489.32 = 33,294.13/x
  3. Step 3: Cross multiply
    77,672.41x = 116,489.32 × 33,294.13
  4. Step 4: Simplify right side
    77,672.41x = 3,878,410,563.69
  5. Step 5: Solve for x
    x = 3,878,410,563.69/77,672.41
  6. Step 6: Final answer
    x = 49,932.92

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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.