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Finding the Fourth Proportional to 45,109.32, 67,670.48 and 13,947

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Solution

The fourth proportional to 45,109.32, 67,670.48 and 13,947 is: 20,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,109.32 : 67,670.48 = 13,947 : x
  2. Step 2: Convert to fraction form
    45,109.32/67,670.48 = 13,947/x
  3. Step 3: Cross multiply
    45,109.32x = 67,670.48 × 13,947
  4. Step 4: Simplify right side
    45,109.32x = 943,800,184.56
  5. Step 5: Solve for x
    x = 943,800,184.56/45,109.32
  6. Step 6: Final answer
    x = 20,922.51

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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.