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Finding the Fourth Proportional to 51,745.71, 71,409.72 and 29,083.37

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Solution

The fourth proportional to 51,745.71, 71,409.72 and 29,083.37 is: 40,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,745.71 : 71,409.72 = 29,083.37 : x
  2. Step 2: Convert to fraction form
    51,745.71/71,409.72 = 29,083.37/x
  3. Step 3: Cross multiply
    51,745.71x = 71,409.72 × 29,083.37
  4. Step 4: Simplify right side
    51,745.71x = 2,076,835,308.36
  5. Step 5: Solve for x
    x = 2,076,835,308.36/51,745.71
  6. Step 6: Final answer
    x = 40,135.41

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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.