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Finding the Fourth Proportional to 109,243.50, 163,874.15 and 30,357.74

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Solution

The fourth proportional to 109,243.50, 163,874.15 and 30,357.74 is: 45,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,243.50 : 163,874.15 = 30,357.74 : x
  2. Step 2: Convert to fraction form
    109,243.50/163,874.15 = 30,357.74/x
  3. Step 3: Cross multiply
    109,243.50x = 163,874.15 × 30,357.74
  4. Step 4: Simplify right side
    109,243.50x = 4,974,847,867.26
  5. Step 5: Solve for x
    x = 4,974,847,867.26/109,243.50
  6. Step 6: Final answer
    x = 45,539.07

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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.