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Finding the Fourth Proportional to 46,676.97, 64,415.03 and 25,456.41

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Solution

The fourth proportional to 46,676.97, 64,415.03 and 25,456.41 is: 35,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676.97 : 64,415.03 = 25,456.41 : x
  2. Step 2: Convert to fraction form
    46,676.97/64,415.03 = 25,456.41/x
  3. Step 3: Cross multiply
    46,676.97x = 64,415.03 × 25,456.41
  4. Step 4: Simplify right side
    46,676.97x = 1,639,775,286.56
  5. Step 5: Solve for x
    x = 1,639,775,286.56/46,676.97
  6. Step 6: Final answer
    x = 35,130.29

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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.