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Finding the Fourth Proportional to 35,137.40, 52,709.78 and 11,446.78

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Solution

The fourth proportional to 35,137.40, 52,709.78 and 11,446.78 is: 17,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,137.40 : 52,709.78 = 11,446.78 : x
  2. Step 2: Convert to fraction form
    35,137.40/52,709.78 = 11,446.78/x
  3. Step 3: Cross multiply
    35,137.40x = 52,709.78 × 11,446.78
  4. Step 4: Simplify right side
    35,137.40x = 603,357,255.51
  5. Step 5: Solve for x
    x = 603,357,255.51/35,137.40
  6. Step 6: Final answer
    x = 17,171.37

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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.