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Finding the Fourth Proportional to 54,906.46, 75,714.34 and 46,974.94

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Solution

The fourth proportional to 54,906.46, 75,714.34 and 46,974.94 is: 64,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.46 : 75,714.34 = 46,974.94 : x
  2. Step 2: Convert to fraction form
    54,906.46/75,714.34 = 46,974.94/x
  3. Step 3: Cross multiply
    54,906.46x = 75,714.34 × 46,974.94
  4. Step 4: Simplify right side
    54,906.46x = 3,556,675,965.19
  5. Step 5: Solve for x
    x = 3,556,675,965.19/54,906.46
  6. Step 6: Final answer
    x = 64,777.01

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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.