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Finding the Fourth Proportional to 29,665, 44,458.14 and 24,744.28

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Solution

The fourth proportional to 29,665, 44,458.14 and 24,744.28 is: 37,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665 : 44,458.14 = 24,744.28 : x
  2. Step 2: Convert to fraction form
    29,665/44,458.14 = 24,744.28/x
  3. Step 3: Cross multiply
    29,665x = 44,458.14 × 24,744.28
  4. Step 4: Simplify right side
    29,665x = 1,100,084,664.44
  5. Step 5: Solve for x
    x = 1,100,084,664.44/29,665
  6. Step 6: Final answer
    x = 37,083.59

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1.5x scale

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.