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Finding the Fourth Proportional to 77,896.40, 116,801.40 and 33,515.60

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Solution

The fourth proportional to 77,896.40, 116,801.40 and 33,515.60 is: 50,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896.40 : 116,801.40 = 33,515.60 : x
  2. Step 2: Convert to fraction form
    77,896.40/116,801.40 = 33,515.60/x
  3. Step 3: Cross multiply
    77,896.40x = 116,801.40 × 33,515.60
  4. Step 4: Simplify right side
    77,896.40x = 3,914,669,001.84
  5. Step 5: Solve for x
    x = 3,914,669,001.84/77,896.40
  6. Step 6: Final answer
    x = 50,254.81

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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.