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Finding the Fourth Proportional to 46,676, 70,025.52 and 13,844

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Solution

The fourth proportional to 46,676, 70,025.52 and 13,844 is: 20,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676 : 70,025.52 = 13,844 : x
  2. Step 2: Convert to fraction form
    46,676/70,025.52 = 13,844/x
  3. Step 3: Cross multiply
    46,676x = 70,025.52 × 13,844
  4. Step 4: Simplify right side
    46,676x = 969,433,298.88
  5. Step 5: Solve for x
    x = 969,433,298.88/46,676
  6. Step 6: Final answer
    x = 20,769.42

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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.