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Finding the Fourth Proportional to 109,000.75, 163,499.50 and 30,113.23

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Solution

The fourth proportional to 109,000.75, 163,499.50 and 30,113.23 is: 45,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,000.75 : 163,499.50 = 30,113.23 : x
  2. Step 2: Convert to fraction form
    109,000.75/163,499.50 = 30,113.23/x
  3. Step 3: Cross multiply
    109,000.75x = 163,499.50 × 30,113.23
  4. Step 4: Simplify right side
    109,000.75x = 4,923,498,048.39
  5. Step 5: Solve for x
    x = 4,923,498,048.39/109,000.75
  6. Step 6: Final answer
    x = 45,169.40

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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.