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Finding the Fourth Proportional to 96,997.25, 145,453.47 and 48,936.30

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Solution

The fourth proportional to 96,997.25, 145,453.47 and 48,936.30 is: 73,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,997.25 : 145,453.47 = 48,936.30 : x
  2. Step 2: Convert to fraction form
    96,997.25/145,453.47 = 48,936.30/x
  3. Step 3: Cross multiply
    96,997.25x = 145,453.47 × 48,936.30
  4. Step 4: Simplify right side
    96,997.25x = 7,117,953,915.00
  5. Step 5: Solve for x
    x = 7,117,953,915.00/96,997.25
  6. Step 6: Final answer
    x = 73,383.05

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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.