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Finding the Fourth Proportional to 95,957.50, 143,968.10 and 29,398.28

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Solution

The fourth proportional to 95,957.50, 143,968.10 and 29,398.28 is: 44,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,957.50 : 143,968.10 = 29,398.28 : x
  2. Step 2: Convert to fraction form
    95,957.50/143,968.10 = 29,398.28/x
  3. Step 3: Cross multiply
    95,957.50x = 143,968.10 × 29,398.28
  4. Step 4: Simplify right side
    95,957.50x = 4,232,414,514.87
  5. Step 5: Solve for x
    x = 4,232,414,514.87/95,957.50
  6. Step 6: Final answer
    x = 44,107.18

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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.