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Finding the Fourth Proportional to 96,793.68, 145,211.04 and 34,464

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Solution

The fourth proportional to 96,793.68, 145,211.04 and 34,464 is: 51,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,793.68 : 145,211.04 = 34,464 : x
  2. Step 2: Convert to fraction form
    96,793.68/145,211.04 = 34,464/x
  3. Step 3: Cross multiply
    96,793.68x = 145,211.04 × 34,464
  4. Step 4: Simplify right side
    96,793.68x = 5,004,553,282.56
  5. Step 5: Solve for x
    x = 5,004,553,282.56/96,793.68
  6. Step 6: Final answer
    x = 51,703.31

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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.