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Finding the Fourth Proportional to 183,023.86, 274,507.44 and 49,914.94

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Solution

The fourth proportional to 183,023.86, 274,507.44 and 49,914.94 is: 74,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,023.86 : 274,507.44 = 49,914.94 : x
  2. Step 2: Convert to fraction form
    183,023.86/274,507.44 = 49,914.94/x
  3. Step 3: Cross multiply
    183,023.86x = 274,507.44 × 49,914.94
  4. Step 4: Simplify right side
    183,023.86x = 13,702,022,397.15
  5. Step 5: Solve for x
    x = 13,702,022,397.15/183,023.86
  6. Step 6: Final answer
    x = 74,864.68

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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.