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Finding the Fourth Proportional to 75,842.94, 104,684.08 and 44,022.09

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Solution

The fourth proportional to 75,842.94, 104,684.08 and 44,022.09 is: 60,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.94 : 104,684.08 = 44,022.09 : x
  2. Step 2: Convert to fraction form
    75,842.94/104,684.08 = 44,022.09/x
  3. Step 3: Cross multiply
    75,842.94x = 104,684.08 × 44,022.09
  4. Step 4: Simplify right side
    75,842.94x = 4,608,412,356.38
  5. Step 5: Solve for x
    x = 4,608,412,356.38/75,842.94
  6. Step 6: Final answer
    x = 60,762.57

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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.