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Finding the Fourth Proportional to 66,764.25, 100,094.13 and 35,132.94

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Solution

The fourth proportional to 66,764.25, 100,094.13 and 35,132.94 is: 52,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764.25 : 100,094.13 = 35,132.94 : x
  2. Step 2: Convert to fraction form
    66,764.25/100,094.13 = 35,132.94/x
  3. Step 3: Cross multiply
    66,764.25x = 100,094.13 × 35,132.94
  4. Step 4: Simplify right side
    66,764.25x = 3,516,601,063.64
  5. Step 5: Solve for x
    x = 3,516,601,063.64/66,764.25
  6. Step 6: Final answer
    x = 52,671.92

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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.