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Finding the Fourth Proportional to 35,813, 53,722.38 and 11,189

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Solution

The fourth proportional to 35,813, 53,722.38 and 11,189 is: 16,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813 : 53,722.38 = 11,189 : x
  2. Step 2: Convert to fraction form
    35,813/53,722.38 = 11,189/x
  3. Step 3: Cross multiply
    35,813x = 53,722.38 × 11,189
  4. Step 4: Simplify right side
    35,813x = 601,099,709.82
  5. Step 5: Solve for x
    x = 601,099,709.82/35,813
  6. Step 6: Final answer
    x = 16,784.40

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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.