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Finding the Fourth Proportional to 35,446.52, 53,169.80 and 10,822.52

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Solution

The fourth proportional to 35,446.52, 53,169.80 and 10,822.52 is: 16,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,446.52 : 53,169.80 = 10,822.52 : x
  2. Step 2: Convert to fraction form
    35,446.52/53,169.80 = 10,822.52/x
  3. Step 3: Cross multiply
    35,446.52x = 53,169.80 × 10,822.52
  4. Step 4: Simplify right side
    35,446.52x = 575,431,223.90
  5. Step 5: Solve for x
    x = 575,431,223.90/35,446.52
  6. Step 6: Final answer
    x = 16,233.79

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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.