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Finding the Fourth Proportional to 66,843, 100,197.78 and 33,461.16

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Solution

The fourth proportional to 66,843, 100,197.78 and 33,461.16 is: 50,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843 : 100,197.78 = 33,461.16 : x
  2. Step 2: Convert to fraction form
    66,843/100,197.78 = 33,461.16/x
  3. Step 3: Cross multiply
    66,843x = 100,197.78 × 33,461.16
  4. Step 4: Simplify right side
    66,843x = 3,352,733,948.22
  5. Step 5: Solve for x
    x = 3,352,733,948.22/66,843
  6. Step 6: Final answer
    x = 50,158.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.