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Finding the Fourth Proportional to 66,206.49, 91,364.76 and 35,991.78

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Solution

The fourth proportional to 66,206.49, 91,364.76 and 35,991.78 is: 49,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,206.49 : 91,364.76 = 35,991.78 : x
  2. Step 2: Convert to fraction form
    66,206.49/91,364.76 = 35,991.78/x
  3. Step 3: Cross multiply
    66,206.49x = 91,364.76 × 35,991.78
  4. Step 4: Simplify right side
    66,206.49x = 3,288,380,341.67
  5. Step 5: Solve for x
    x = 3,288,380,341.67/66,206.49
  6. Step 6: Final answer
    x = 49,668.55

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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.