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Finding the Fourth Proportional to 75,642.82, 104,386.23 and 41,650.60

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Solution

The fourth proportional to 75,642.82, 104,386.23 and 41,650.60 is: 57,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.82 : 104,386.23 = 41,650.60 : x
  2. Step 2: Convert to fraction form
    75,642.82/104,386.23 = 41,650.60/x
  3. Step 3: Cross multiply
    75,642.82x = 104,386.23 × 41,650.60
  4. Step 4: Simplify right side
    75,642.82x = 4,347,749,215.36
  5. Step 5: Solve for x
    x = 4,347,749,215.36/75,642.82
  6. Step 6: Final answer
    x = 57,477.35

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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.