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Finding the Fourth Proportional to 39,484, 59,226 and 11,782

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Solution

The fourth proportional to 39,484, 59,226 and 11,782 is: 17,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,484 : 59,226 = 11,782 : x
  2. Step 2: Convert to fraction form
    39,484/59,226 = 11,782/x
  3. Step 3: Cross multiply
    39,484x = 59,226 × 11,782
  4. Step 4: Simplify right side
    39,484x = 697,800,732
  5. Step 5: Solve for x
    x = 697,800,732/39,484
  6. Step 6: Final answer
    x = 17,673

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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.