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Finding the Fourth Proportional to 30,865.80, 46,301.12 and 8,681

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Solution

The fourth proportional to 30,865.80, 46,301.12 and 8,681 is: 13,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.80 : 46,301.12 = 8,681 : x
  2. Step 2: Convert to fraction form
    30,865.80/46,301.12 = 8,681/x
  3. Step 3: Cross multiply
    30,865.80x = 46,301.12 × 8,681
  4. Step 4: Simplify right side
    30,865.80x = 401,940,022.72
  5. Step 5: Solve for x
    x = 401,940,022.72/30,865.80
  6. Step 6: Final answer
    x = 13,022.18

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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.