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Finding the Fourth Proportional to 182,884.37, 274,298.84 and 49,775

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Solution

The fourth proportional to 182,884.37, 274,298.84 and 49,775 is: 74,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,884.37 : 274,298.84 = 49,775 : x
  2. Step 2: Convert to fraction form
    182,884.37/274,298.84 = 49,775/x
  3. Step 3: Cross multiply
    182,884.37x = 274,298.84 × 49,775
  4. Step 4: Simplify right side
    182,884.37x = 13,653,224,512.13
  5. Step 5: Solve for x
    x = 13,653,224,512.13/182,884.37
  6. Step 6: Final answer
    x = 74,654.96

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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.