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Finding the Fourth Proportional to 35,383.12, 53,083.32 and 14,612.56

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Solution

The fourth proportional to 35,383.12, 53,083.32 and 14,612.56 is: 21,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,383.12 : 53,083.32 = 14,612.56 : x
  2. Step 2: Convert to fraction form
    35,383.12/53,083.32 = 14,612.56/x
  3. Step 3: Cross multiply
    35,383.12x = 53,083.32 × 14,612.56
  4. Step 4: Simplify right side
    35,383.12x = 775,683,198.50
  5. Step 5: Solve for x
    x = 775,683,198.50/35,383.12
  6. Step 6: Final answer
    x = 21,922.41

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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.