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Finding the Fourth Proportional to 35,346, 53,020.08 and 10,722

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Solution

The fourth proportional to 35,346, 53,020.08 and 10,722 is: 16,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,346 : 53,020.08 = 10,722 : x
  2. Step 2: Convert to fraction form
    35,346/53,020.08 = 10,722/x
  3. Step 3: Cross multiply
    35,346x = 53,020.08 × 10,722
  4. Step 4: Simplify right side
    35,346x = 568,481,297.76
  5. Step 5: Solve for x
    x = 568,481,297.76/35,346
  6. Step 6: Final answer
    x = 16,083.33

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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.