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Finding the Fourth Proportional to 75,889.72, 104,741.94 and 43,643.22

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Solution

The fourth proportional to 75,889.72, 104,741.94 and 43,643.22 is: 60,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889.72 : 104,741.94 = 43,643.22 : x
  2. Step 2: Convert to fraction form
    75,889.72/104,741.94 = 43,643.22/x
  3. Step 3: Cross multiply
    75,889.72x = 104,741.94 × 43,643.22
  4. Step 4: Simplify right side
    75,889.72x = 4,571,275,530.65
  5. Step 5: Solve for x
    x = 4,571,275,530.65/75,889.72
  6. Step 6: Final answer
    x = 60,235.77

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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.