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Finding the Fourth Proportional to 51,844.26, 71,567.15 and 34,858.36

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Solution

The fourth proportional to 51,844.26, 71,567.15 and 34,858.36 is: 48,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844.26 : 71,567.15 = 34,858.36 : x
  2. Step 2: Convert to fraction form
    51,844.26/71,567.15 = 34,858.36/x
  3. Step 3: Cross multiply
    51,844.26x = 71,567.15 × 34,858.36
  4. Step 4: Simplify right side
    51,844.26x = 2,494,713,478.87
  5. Step 5: Solve for x
    x = 2,494,713,478.87/51,844.26
  6. Step 6: Final answer
    x = 48,119.38

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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.