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Finding the Fourth Proportional to 35,222, 52,796.60 and 11,840.56

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Solution

The fourth proportional to 35,222, 52,796.60 and 11,840.56 is: 17,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,222 : 52,796.60 = 11,840.56 : x
  2. Step 2: Convert to fraction form
    35,222/52,796.60 = 11,840.56/x
  3. Step 3: Cross multiply
    35,222x = 52,796.60 × 11,840.56
  4. Step 4: Simplify right side
    35,222x = 625,141,310.10
  5. Step 5: Solve for x
    x = 625,141,310.10/35,222
  6. Step 6: Final answer
    x = 17,748.60

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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.