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Finding the Fourth Proportional to 109,054.28, 163,581.41 and 30,166.45

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Solution

The fourth proportional to 109,054.28, 163,581.41 and 30,166.45 is: 45,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,054.28 : 163,581.41 = 30,166.45 : x
  2. Step 2: Convert to fraction form
    109,054.28/163,581.41 = 30,166.45/x
  3. Step 3: Cross multiply
    109,054.28x = 163,581.41 × 30,166.45
  4. Step 4: Simplify right side
    109,054.28x = 4,934,670,274.86
  5. Step 5: Solve for x
    x = 4,934,670,274.86/109,054.28
  6. Step 6: Final answer
    x = 45,249.67

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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.