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Finding the Fourth Proportional to 30,700.94, 46,002.21 and 27,748.49

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Solution

The fourth proportional to 30,700.94, 46,002.21 and 27,748.49 is: 41,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.94 : 46,002.21 = 27,748.49 : x
  2. Step 2: Convert to fraction form
    30,700.94/46,002.21 = 27,748.49/x
  3. Step 3: Cross multiply
    30,700.94x = 46,002.21 × 27,748.49
  4. Step 4: Simplify right side
    30,700.94x = 1,276,491,634.15
  5. Step 5: Solve for x
    x = 1,276,491,634.15/30,700.94
  6. Step 6: Final answer
    x = 41,578.27

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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.