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Finding the Fourth Proportional to 34,464.80, 51,706.80 and 16,935.20

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Solution

The fourth proportional to 34,464.80, 51,706.80 and 16,935.20 is: 25,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,464.80 : 51,706.80 = 16,935.20 : x
  2. Step 2: Convert to fraction form
    34,464.80/51,706.80 = 16,935.20/x
  3. Step 3: Cross multiply
    34,464.80x = 51,706.80 × 16,935.20
  4. Step 4: Simplify right side
    34,464.80x = 875,664,999.36
  5. Step 5: Solve for x
    x = 875,664,999.36/34,464.80
  6. Step 6: Final answer
    x = 25,407.52

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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.