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Finding the Fourth Proportional to 35,852, 53,778 and 11,228

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Solution

The fourth proportional to 35,852, 53,778 and 11,228 is: 16,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852 : 53,778 = 11,228 : x
  2. Step 2: Convert to fraction form
    35,852/53,778 = 11,228/x
  3. Step 3: Cross multiply
    35,852x = 53,778 × 11,228
  4. Step 4: Simplify right side
    35,852x = 603,819,384
  5. Step 5: Solve for x
    x = 603,819,384/35,852
  6. Step 6: Final answer
    x = 16,842

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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.