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Finding the Fourth Proportional to 122,658.30, 184,009.32 and 33,909.84

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Solution

The fourth proportional to 122,658.30, 184,009.32 and 33,909.84 is: 50,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,658.30 : 184,009.32 = 33,909.84 : x
  2. Step 2: Convert to fraction form
    122,658.30/184,009.32 = 33,909.84/x
  3. Step 3: Cross multiply
    122,658.30x = 184,009.32 × 33,909.84
  4. Step 4: Simplify right side
    122,658.30x = 6,239,726,599.71
  5. Step 5: Solve for x
    x = 6,239,726,599.71/122,658.30
  6. Step 6: Final answer
    x = 50,870.81

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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.