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Finding the Fourth Proportional to 66,748.68, 100,134.09 and 31,669.20

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Solution

The fourth proportional to 66,748.68, 100,134.09 and 31,669.20 is: 47,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,748.68 : 100,134.09 = 31,669.20 : x
  2. Step 2: Convert to fraction form
    66,748.68/100,134.09 = 31,669.20/x
  3. Step 3: Cross multiply
    66,748.68x = 100,134.09 × 31,669.20
  4. Step 4: Simplify right side
    66,748.68x = 3,171,166,523.03
  5. Step 5: Solve for x
    x = 3,171,166,523.03/66,748.68
  6. Step 6: Final answer
    x = 47,509.05

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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.