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Finding the Fourth Proportional to 96,938.92, 133,774.39 and 53,918

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Solution

The fourth proportional to 96,938.92, 133,774.39 and 53,918 is: 74,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,938.92 : 133,774.39 = 53,918 : x
  2. Step 2: Convert to fraction form
    96,938.92/133,774.39 = 53,918/x
  3. Step 3: Cross multiply
    96,938.92x = 133,774.39 × 53,918
  4. Step 4: Simplify right side
    96,938.92x = 7,212,847,560.02
  5. Step 5: Solve for x
    x = 7,212,847,560.02/96,938.92
  6. Step 6: Final answer
    x = 74,406.11

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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.