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Finding the Fourth Proportional to 29,980.80, 44,971.20 and 16,832.88

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Solution

The fourth proportional to 29,980.80, 44,971.20 and 16,832.88 is: 25,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.80 : 44,971.20 = 16,832.88 : x
  2. Step 2: Convert to fraction form
    29,980.80/44,971.20 = 16,832.88/x
  3. Step 3: Cross multiply
    29,980.80x = 44,971.20 × 16,832.88
  4. Step 4: Simplify right side
    29,980.80x = 756,994,813.06
  5. Step 5: Solve for x
    x = 756,994,813.06/29,980.80
  6. Step 6: Final answer
    x = 25,249.32

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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.