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Finding the Fourth Proportional to 65,751.15, 90,665.23 and 41,847.24

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Solution

The fourth proportional to 65,751.15, 90,665.23 and 41,847.24 is: 57,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.15 : 90,665.23 = 41,847.24 : x
  2. Step 2: Convert to fraction form
    65,751.15/90,665.23 = 41,847.24/x
  3. Step 3: Cross multiply
    65,751.15x = 90,665.23 × 41,847.24
  4. Step 4: Simplify right side
    65,751.15x = 3,794,089,639.47
  5. Step 5: Solve for x
    x = 3,794,089,639.47/65,751.15
  6. Step 6: Final answer
    x = 57,703.78

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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.