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Finding the Fourth Proportional to 39,662.30, 59,499.02 and 11,584.42

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Solution

The fourth proportional to 39,662.30, 59,499.02 and 11,584.42 is: 17,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,662.30 : 59,499.02 = 11,584.42 : x
  2. Step 2: Convert to fraction form
    39,662.30/59,499.02 = 11,584.42/x
  3. Step 3: Cross multiply
    39,662.30x = 59,499.02 × 11,584.42
  4. Step 4: Simplify right side
    39,662.30x = 689,261,517.48
  5. Step 5: Solve for x
    x = 689,261,517.48/39,662.30
  6. Step 6: Final answer
    x = 17,378.25

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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.