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Finding the Fourth Proportional to 51,829.36, 71,554.26 and 34,858.24

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Solution

The fourth proportional to 51,829.36, 71,554.26 and 34,858.24 is: 48,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829.36 : 71,554.26 = 34,858.24 : x
  2. Step 2: Convert to fraction form
    51,829.36/71,554.26 = 34,858.24/x
  3. Step 3: Cross multiply
    51,829.36x = 71,554.26 × 34,858.24
  4. Step 4: Simplify right side
    51,829.36x = 2,494,255,568.10
  5. Step 5: Solve for x
    x = 2,494,255,568.10/51,829.36
  6. Step 6: Final answer
    x = 48,124.38

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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.