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Finding the Fourth Proportional to 122,698.98, 184,048.23 and 33,952.24

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Solution

The fourth proportional to 122,698.98, 184,048.23 and 33,952.24 is: 50,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,698.98 : 184,048.23 = 33,952.24 : x
  2. Step 2: Convert to fraction form
    122,698.98/184,048.23 = 33,952.24/x
  3. Step 3: Cross multiply
    122,698.98x = 184,048.23 × 33,952.24
  4. Step 4: Simplify right side
    122,698.98x = 6,248,849,676.54
  5. Step 5: Solve for x
    x = 6,248,849,676.54/122,698.98
  6. Step 6: Final answer
    x = 50,928.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.