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Finding the Fourth Proportional to 39,228, 58,842 and 11,526

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Solution

The fourth proportional to 39,228, 58,842 and 11,526 is: 17,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 58,842 = 11,526 : x
  2. Step 2: Convert to fraction form
    39,228/58,842 = 11,526/x
  3. Step 3: Cross multiply
    39,228x = 58,842 × 11,526
  4. Step 4: Simplify right side
    39,228x = 678,212,892
  5. Step 5: Solve for x
    x = 678,212,892/39,228
  6. Step 6: Final answer
    x = 17,289

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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.