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Finding the Fourth Proportional to 39,505, 59,257.51 and 11,803

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Solution

The fourth proportional to 39,505, 59,257.51 and 11,803 is: 17,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,505 : 59,257.51 = 11,803 : x
  2. Step 2: Convert to fraction form
    39,505/59,257.51 = 11,803/x
  3. Step 3: Cross multiply
    39,505x = 59,257.51 × 11,803
  4. Step 4: Simplify right side
    39,505x = 699,416,331.52
  5. Step 5: Solve for x
    x = 699,416,331.52/39,505
  6. Step 6: Final answer
    x = 17,704.50

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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.