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Finding the Fourth Proportional to 35,622, 53,418.23 and 13,133.96

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Solution

The fourth proportional to 35,622, 53,418.23 and 13,133.96 is: 19,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,622 : 53,418.23 = 13,133.96 : x
  2. Step 2: Convert to fraction form
    35,622/53,418.23 = 13,133.96/x
  3. Step 3: Cross multiply
    35,622x = 53,418.23 × 13,133.96
  4. Step 4: Simplify right side
    35,622x = 701,592,896.09
  5. Step 5: Solve for x
    x = 701,592,896.09/35,622
  6. Step 6: Final answer
    x = 19,695.49

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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.