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Finding the Fourth Proportional to 35,714.56, 53,305.94 and 30,949.44

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Solution

The fourth proportional to 35,714.56, 53,305.94 and 30,949.44 is: 46,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.56 : 53,305.94 = 30,949.44 : x
  2. Step 2: Convert to fraction form
    35,714.56/53,305.94 = 30,949.44/x
  3. Step 3: Cross multiply
    35,714.56x = 53,305.94 × 30,949.44
  4. Step 4: Simplify right side
    35,714.56x = 1,649,788,991.67
  5. Step 5: Solve for x
    x = 1,649,788,991.67/35,714.56
  6. Step 6: Final answer
    x = 46,193.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.