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Finding the Fourth Proportional to 75,642.34, 104,386.44 and 41,650.96

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Solution

The fourth proportional to 75,642.34, 104,386.44 and 41,650.96 is: 57,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.34 : 104,386.44 = 41,650.96 : x
  2. Step 2: Convert to fraction form
    75,642.34/104,386.44 = 41,650.96/x
  3. Step 3: Cross multiply
    75,642.34x = 104,386.44 × 41,650.96
  4. Step 4: Simplify right side
    75,642.34x = 4,347,795,436.98
  5. Step 5: Solve for x
    x = 4,347,795,436.98/75,642.34
  6. Step 6: Final answer
    x = 57,478.33

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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.