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Finding the Fourth Proportional to 75,842.36, 104,662.80 and 41,851.28

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Solution

The fourth proportional to 75,842.36, 104,662.80 and 41,851.28 is: 57,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.36 : 104,662.80 = 41,851.28 : x
  2. Step 2: Convert to fraction form
    75,842.36/104,662.80 = 41,851.28/x
  3. Step 3: Cross multiply
    75,842.36x = 104,662.80 × 41,851.28
  4. Step 4: Simplify right side
    75,842.36x = 4,380,272,148.38
  5. Step 5: Solve for x
    x = 4,380,272,148.38/75,842.36
  6. Step 6: Final answer
    x = 57,754.96

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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.