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Finding the Fourth Proportional to 75,871.56, 104,702.75 and 41,880.05

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Solution

The fourth proportional to 75,871.56, 104,702.75 and 41,880.05 is: 57,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,871.56 : 104,702.75 = 41,880.05 : x
  2. Step 2: Convert to fraction form
    75,871.56/104,702.75 = 41,880.05/x
  3. Step 3: Cross multiply
    75,871.56x = 104,702.75 × 41,880.05
  4. Step 4: Simplify right side
    75,871.56x = 4,384,956,405.14
  5. Step 5: Solve for x
    x = 4,384,956,405.14/75,871.56
  6. Step 6: Final answer
    x = 57,794.47

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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.