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Finding the Fourth Proportional to 29,826, 44,739.36 and 13,410

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Solution

The fourth proportional to 29,826, 44,739.36 and 13,410 is: 20,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826 : 44,739.36 = 13,410 : x
  2. Step 2: Convert to fraction form
    29,826/44,739.36 = 13,410/x
  3. Step 3: Cross multiply
    29,826x = 44,739.36 × 13,410
  4. Step 4: Simplify right side
    29,826x = 599,954,817.60
  5. Step 5: Solve for x
    x = 599,954,817.60/29,826
  6. Step 6: Final answer
    x = 20,115.16

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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.