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Finding the Fourth Proportional to 109,235.63, 163,853.39 and 30,349.83

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Solution

The fourth proportional to 109,235.63, 163,853.39 and 30,349.83 is: 45,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,235.63 : 163,853.39 = 30,349.83 : x
  2. Step 2: Convert to fraction form
    109,235.63/163,853.39 = 30,349.83/x
  3. Step 3: Cross multiply
    109,235.63x = 163,853.39 × 30,349.83
  4. Step 4: Simplify right side
    109,235.63x = 4,972,922,607.30
  5. Step 5: Solve for x
    x = 4,972,922,607.30/109,235.63
  6. Step 6: Final answer
    x = 45,524.73

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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.