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Finding the Fourth Proportional to 29,965.30, 44,980.35 and 16,843.30

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Solution

The fourth proportional to 29,965.30, 44,980.35 and 16,843.30 is: 25,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.30 : 44,980.35 = 16,843.30 : x
  2. Step 2: Convert to fraction form
    29,965.30/44,980.35 = 16,843.30/x
  3. Step 3: Cross multiply
    29,965.30x = 44,980.35 × 16,843.30
  4. Step 4: Simplify right side
    29,965.30x = 757,617,529.16
  5. Step 5: Solve for x
    x = 757,617,529.16/29,965.30
  6. Step 6: Final answer
    x = 25,283.16

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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.