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Finding the Fourth Proportional to 129,627, 194,459.94 and 46,540.44

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Solution

The fourth proportional to 129,627, 194,459.94 and 46,540.44 is: 69,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,627 : 194,459.94 = 46,540.44 : x
  2. Step 2: Convert to fraction form
    129,627/194,459.94 = 46,540.44/x
  3. Step 3: Cross multiply
    129,627x = 194,459.94 × 46,540.44
  4. Step 4: Simplify right side
    129,627x = 9,050,251,169.97
  5. Step 5: Solve for x
    x = 9,050,251,169.97/129,627
  6. Step 6: Final answer
    x = 69,817.64

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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.