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Finding the Fourth Proportional to 35,401, 53,097.82 and 22,214.28

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Solution

The fourth proportional to 35,401, 53,097.82 and 22,214.28 is: 33,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,401 : 53,097.82 = 22,214.28 : x
  2. Step 2: Convert to fraction form
    35,401/53,097.82 = 22,214.28/x
  3. Step 3: Cross multiply
    35,401x = 53,097.82 × 22,214.28
  4. Step 4: Simplify right side
    35,401x = 1,179,529,840.87
  5. Step 5: Solve for x
    x = 1,179,529,840.87/35,401
  6. Step 6: Final answer
    x = 33,319.11

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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.