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Finding the Fourth Proportional to 96,968, 133,817.46 and 63,434

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Solution

The fourth proportional to 96,968, 133,817.46 and 63,434 is: 87,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,968 : 133,817.46 = 63,434 : x
  2. Step 2: Convert to fraction form
    96,968/133,817.46 = 63,434/x
  3. Step 3: Cross multiply
    96,968x = 133,817.46 × 63,434
  4. Step 4: Simplify right side
    96,968x = 8,488,576,757.64
  5. Step 5: Solve for x
    x = 8,488,576,757.64/96,968
  6. Step 6: Final answer
    x = 87,539.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.