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Finding the Fourth Proportional to 84,286.56, 116,319 and 48,476.62

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Solution

The fourth proportional to 84,286.56, 116,319 and 48,476.62 is: 66,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,286.56 : 116,319 = 48,476.62 : x
  2. Step 2: Convert to fraction form
    84,286.56/116,319 = 48,476.62/x
  3. Step 3: Cross multiply
    84,286.56x = 116,319 × 48,476.62
  4. Step 4: Simplify right side
    84,286.56x = 5,638,751,961.78
  5. Step 5: Solve for x
    x = 5,638,751,961.78/84,286.56
  6. Step 6: Final answer
    x = 66,899.78

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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.