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Finding the Fourth Proportional to 69,793.30, 96,313.35 and 37,963

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Solution

The fourth proportional to 69,793.30, 96,313.35 and 37,963 is: 52,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,793.30 : 96,313.35 = 37,963 : x
  2. Step 2: Convert to fraction form
    69,793.30/96,313.35 = 37,963/x
  3. Step 3: Cross multiply
    69,793.30x = 96,313.35 × 37,963
  4. Step 4: Simplify right side
    69,793.30x = 3,656,343,706.05
  5. Step 5: Solve for x
    x = 3,656,343,706.05/69,793.30
  6. Step 6: Final answer
    x = 52,388.18

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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.