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Finding the Fourth Proportional to 84,651.45, 116,820.32 and 46,414.49

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Solution

The fourth proportional to 84,651.45, 116,820.32 and 46,414.49 is: 64,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651.45 : 116,820.32 = 46,414.49 : x
  2. Step 2: Convert to fraction form
    84,651.45/116,820.32 = 46,414.49/x
  3. Step 3: Cross multiply
    84,651.45x = 116,820.32 × 46,414.49
  4. Step 4: Simplify right side
    84,651.45x = 5,422,154,758.26
  5. Step 5: Solve for x
    x = 5,422,154,758.26/84,651.45
  6. Step 6: Final answer
    x = 64,052.71

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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.