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Finding the Fourth Proportional to 66,747, 100,042.74 and 37,150.68

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Solution

The fourth proportional to 66,747, 100,042.74 and 37,150.68 is: 55,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,747 : 100,042.74 = 37,150.68 : x
  2. Step 2: Convert to fraction form
    66,747/100,042.74 = 37,150.68/x
  3. Step 3: Cross multiply
    66,747x = 100,042.74 × 37,150.68
  4. Step 4: Simplify right side
    66,747x = 3,716,655,820.06
  5. Step 5: Solve for x
    x = 3,716,655,820.06/66,747
  6. Step 6: Final answer
    x = 55,682.74

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