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Finding the Fourth Proportional to 75,842.73, 104,683.78 and 44,021.88

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Solution

The fourth proportional to 75,842.73, 104,683.78 and 44,021.88 is: 60,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.73 : 104,683.78 = 44,021.88 : x
  2. Step 2: Convert to fraction form
    75,842.73/104,683.78 = 44,021.88/x
  3. Step 3: Cross multiply
    75,842.73x = 104,683.78 × 44,021.88
  4. Step 4: Simplify right side
    75,842.73x = 4,608,376,801.11
  5. Step 5: Solve for x
    x = 4,608,376,801.11/75,842.73
  6. Step 6: Final answer
    x = 60,762.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.