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Finding the Fourth Proportional to 30,700.93, 46,002.21 and 27,748.48

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Solution

The fourth proportional to 30,700.93, 46,002.21 and 27,748.48 is: 41,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.93 : 46,002.21 = 27,748.48 : x
  2. Step 2: Convert to fraction form
    30,700.93/46,002.21 = 27,748.48/x
  3. Step 3: Cross multiply
    30,700.93x = 46,002.21 × 27,748.48
  4. Step 4: Simplify right side
    30,700.93x = 1,276,491,404.14
  5. Step 5: Solve for x
    x = 1,276,491,404.14/30,700.93
  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.