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Finding the Fourth Proportional to 66,146.64, 99,236.16 and 32,882.37

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Solution

The fourth proportional to 66,146.64, 99,236.16 and 32,882.37 is: 49,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,146.64 : 99,236.16 = 32,882.37 : x
  2. Step 2: Convert to fraction form
    66,146.64/99,236.16 = 32,882.37/x
  3. Step 3: Cross multiply
    66,146.64x = 99,236.16 × 32,882.37
  4. Step 4: Simplify right side
    66,146.64x = 3,263,120,130.50
  5. Step 5: Solve for x
    x = 3,263,120,130.50/66,146.64
  6. Step 6: Final answer
    x = 49,331.61

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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.