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Finding the Fourth Proportional to 84,249.78, 116,264.25 and 46,524.02

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Solution

The fourth proportional to 84,249.78, 116,264.25 and 46,524.02 is: 64,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,249.78 : 116,264.25 = 46,524.02 : x
  2. Step 2: Convert to fraction form
    84,249.78/116,264.25 = 46,524.02/x
  3. Step 3: Cross multiply
    84,249.78x = 116,264.25 × 46,524.02
  4. Step 4: Simplify right side
    84,249.78x = 5,409,080,292.29
  5. Step 5: Solve for x
    x = 5,409,080,292.29/84,249.78
  6. Step 6: Final answer
    x = 64,202.90

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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.