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Finding the Fourth Proportional to 51,268.80, 76,899.84 and 16,233.60

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Solution

The fourth proportional to 51,268.80, 76,899.84 and 16,233.60 is: 24,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,268.80 : 76,899.84 = 16,233.60 : x
  2. Step 2: Convert to fraction form
    51,268.80/76,899.84 = 16,233.60/x
  3. Step 3: Cross multiply
    51,268.80x = 76,899.84 × 16,233.60
  4. Step 4: Simplify right side
    51,268.80x = 1,248,361,242.62
  5. Step 5: Solve for x
    x = 1,248,361,242.62/51,268.80
  6. Step 6: Final answer
    x = 24,349.34

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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.