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Finding the Fourth Proportional to 89,405, 123,378.40 and 48,568.80

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Solution

The fourth proportional to 89,405, 123,378.40 and 48,568.80 is: 67,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,405 : 123,378.40 = 48,568.80 : x
  2. Step 2: Convert to fraction form
    89,405/123,378.40 = 48,568.80/x
  3. Step 3: Cross multiply
    89,405x = 123,378.40 × 48,568.80
  4. Step 4: Simplify right side
    89,405x = 5,992,340,833.92
  5. Step 5: Solve for x
    x = 5,992,340,833.92/89,405
  6. Step 6: Final answer
    x = 67,024.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.