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Finding the Fourth Proportional to 122,415.74, 183,624.42 and 33,678.62

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Solution

The fourth proportional to 122,415.74, 183,624.42 and 33,678.62 is: 50,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,415.74 : 183,624.42 = 33,678.62 : x
  2. Step 2: Convert to fraction form
    122,415.74/183,624.42 = 33,678.62/x
  3. Step 3: Cross multiply
    122,415.74x = 183,624.42 × 33,678.62
  4. Step 4: Simplify right side
    122,415.74x = 6,184,217,063.90
  5. Step 5: Solve for x
    x = 6,184,217,063.90/122,415.74
  6. Step 6: Final answer
    x = 50,518.15

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