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Finding the Fourth Proportional to 46,022.62, 69,034.09 and 14,002

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Solution

The fourth proportional to 46,022.62, 69,034.09 and 14,002 is: 21,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022.62 : 69,034.09 = 14,002 : x
  2. Step 2: Convert to fraction form
    46,022.62/69,034.09 = 14,002/x
  3. Step 3: Cross multiply
    46,022.62x = 69,034.09 × 14,002
  4. Step 4: Simplify right side
    46,022.62x = 966,615,328.18
  5. Step 5: Solve for x
    x = 966,615,328.18/46,022.62
  6. Step 6: Final answer
    x = 21,003.05

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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.