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Finding the Fourth Proportional to 39,894.34, 59,850.30 and 11,816.60

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Solution

The fourth proportional to 39,894.34, 59,850.30 and 11,816.60 is: 17,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,894.34 : 59,850.30 = 11,816.60 : x
  2. Step 2: Convert to fraction form
    39,894.34/59,850.30 = 11,816.60/x
  3. Step 3: Cross multiply
    39,894.34x = 59,850.30 × 11,816.60
  4. Step 4: Simplify right side
    39,894.34x = 707,227,054.98
  5. Step 5: Solve for x
    x = 707,227,054.98/39,894.34
  6. Step 6: Final answer
    x = 17,727.51

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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.