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Finding the Fourth Proportional to 77,249.44, 106,582.80 and 43,714.72

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Solution

The fourth proportional to 77,249.44, 106,582.80 and 43,714.72 is: 60,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,249.44 : 106,582.80 = 43,714.72 : x
  2. Step 2: Convert to fraction form
    77,249.44/106,582.80 = 43,714.72/x
  3. Step 3: Cross multiply
    77,249.44x = 106,582.80 × 43,714.72
  4. Step 4: Simplify right side
    77,249.44x = 4,659,237,258.82
  5. Step 5: Solve for x
    x = 4,659,237,258.82/77,249.44
  6. Step 6: Final answer
    x = 60,314.19

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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.