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Finding the Fourth Proportional to 74,554.86, 111,828.65 and 27,804.09

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Solution

The fourth proportional to 74,554.86, 111,828.65 and 27,804.09 is: 41,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,554.86 : 111,828.65 = 27,804.09 : x
  2. Step 2: Convert to fraction form
    74,554.86/111,828.65 = 27,804.09/x
  3. Step 3: Cross multiply
    74,554.86x = 111,828.65 × 27,804.09
  4. Step 4: Simplify right side
    74,554.86x = 3,109,294,285.91
  5. Step 5: Solve for x
    x = 3,109,294,285.91/74,554.86
  6. Step 6: Final answer
    x = 41,704.78

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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.