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Finding the Fourth Proportional to 46,049.56, 69,072.72 and 14,884

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Solution

The fourth proportional to 46,049.56, 69,072.72 and 14,884 is: 22,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,049.56 : 69,072.72 = 14,884 : x
  2. Step 2: Convert to fraction form
    46,049.56/69,072.72 = 14,884/x
  3. Step 3: Cross multiply
    46,049.56x = 69,072.72 × 14,884
  4. Step 4: Simplify right side
    46,049.56x = 1,028,078,364.48
  5. Step 5: Solve for x
    x = 1,028,078,364.48/46,049.56
  6. Step 6: Final answer
    x = 22,325.48

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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.