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Finding the Fourth Proportional to 77,472.25, 116,257.53 and 33,099.34

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Solution

The fourth proportional to 77,472.25, 116,257.53 and 33,099.34 is: 49,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,472.25 : 116,257.53 = 33,099.34 : x
  2. Step 2: Convert to fraction form
    77,472.25/116,257.53 = 33,099.34/x
  3. Step 3: Cross multiply
    77,472.25x = 116,257.53 × 33,099.34
  4. Step 4: Simplify right side
    77,472.25x = 3,848,046,766.25
  5. Step 5: Solve for x
    x = 3,848,046,766.25/77,472.25
  6. Step 6: Final answer
    x = 49,670.00

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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.