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Finding the Fourth Proportional to 83,441.94, 115,132.62 and 47,643.60

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Solution

The fourth proportional to 83,441.94, 115,132.62 and 47,643.60 is: 65,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,441.94 : 115,132.62 = 47,643.60 : x
  2. Step 2: Convert to fraction form
    83,441.94/115,132.62 = 47,643.60/x
  3. Step 3: Cross multiply
    83,441.94x = 115,132.62 × 47,643.60
  4. Step 4: Simplify right side
    83,441.94x = 5,485,332,494.23
  5. Step 5: Solve for x
    x = 5,485,332,494.23/83,441.94
  6. Step 6: Final answer
    x = 65,738.31

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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.