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Finding the Fourth Proportional to 29,830, 44,745.36 and 13,414

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Solution

The fourth proportional to 29,830, 44,745.36 and 13,414 is: 20,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830 : 44,745.36 = 13,414 : x
  2. Step 2: Convert to fraction form
    29,830/44,745.36 = 13,414/x
  3. Step 3: Cross multiply
    29,830x = 44,745.36 × 13,414
  4. Step 4: Simplify right side
    29,830x = 600,214,259.04
  5. Step 5: Solve for x
    x = 600,214,259.04/29,830
  6. Step 6: Final answer
    x = 20,121.16

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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.