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Finding the Fourth Proportional to 83,751.64, 115,570.56 and 47,933.44

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Solution

The fourth proportional to 83,751.64, 115,570.56 and 47,933.44 is: 66,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751.64 : 115,570.56 = 47,933.44 : x
  2. Step 2: Convert to fraction form
    83,751.64/115,570.56 = 47,933.44/x
  3. Step 3: Cross multiply
    83,751.64x = 115,570.56 × 47,933.44
  4. Step 4: Simplify right side
    83,751.64x = 5,539,694,503.53
  5. Step 5: Solve for x
    x = 5,539,694,503.53/83,751.64
  6. Step 6: Final answer
    x = 66,144.31

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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.