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Finding the Fourth Proportional to 35,227, 52,803.26 and 13,026.12

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Solution

The fourth proportional to 35,227, 52,803.26 and 13,026.12 is: 19,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,227 : 52,803.26 = 13,026.12 : x
  2. Step 2: Convert to fraction form
    35,227/52,803.26 = 13,026.12/x
  3. Step 3: Cross multiply
    35,227x = 52,803.26 × 13,026.12
  4. Step 4: Simplify right side
    35,227x = 687,821,601.15
  5. Step 5: Solve for x
    x = 687,821,601.15/35,227
  6. Step 6: Final answer
    x = 19,525.41

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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.