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Finding the Fourth Proportional to 54,906.33, 75,714.17 and 46,974.81

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Solution

The fourth proportional to 54,906.33, 75,714.17 and 46,974.81 is: 64,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.33 : 75,714.17 = 46,974.81 : x
  2. Step 2: Convert to fraction form
    54,906.33/75,714.17 = 46,974.81/x
  3. Step 3: Cross multiply
    54,906.33x = 75,714.17 × 46,974.81
  4. Step 4: Simplify right side
    54,906.33x = 3,556,658,515.18
  5. Step 5: Solve for x
    x = 3,556,658,515.18/54,906.33
  6. Step 6: Final answer
    x = 64,776.84

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1.5x scale

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.