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Finding the Fourth Proportional to 104,769.32, 157,138.62 and 34,649.64

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Solution

The fourth proportional to 104,769.32, 157,138.62 and 34,649.64 is: 51,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,769.32 : 157,138.62 = 34,649.64 : x
  2. Step 2: Convert to fraction form
    104,769.32/157,138.62 = 34,649.64/x
  3. Step 3: Cross multiply
    104,769.32x = 157,138.62 × 34,649.64
  4. Step 4: Simplify right side
    104,769.32x = 5,444,796,613.10
  5. Step 5: Solve for x
    x = 5,444,796,613.10/104,769.32
  6. Step 6: Final answer
    x = 51,969.38

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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.