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Finding the Fourth Proportional to 29,964.80, 44,947.20 and 16,842.80

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Solution

The fourth proportional to 29,964.80, 44,947.20 and 16,842.80 is: 25,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964.80 : 44,947.20 = 16,842.80 : x
  2. Step 2: Convert to fraction form
    29,964.80/44,947.20 = 16,842.80/x
  3. Step 3: Cross multiply
    29,964.80x = 44,947.20 × 16,842.80
  4. Step 4: Simplify right side
    29,964.80x = 757,036,700.16
  5. Step 5: Solve for x
    x = 757,036,700.16/29,964.80
  6. Step 6: Final answer
    x = 25,264.20

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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.