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Finding the Fourth Proportional to 30,865.50, 46,291.23 and 8,681.04

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Solution

The fourth proportional to 30,865.50, 46,291.23 and 8,681.04 is: 13,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.50 : 46,291.23 = 8,681.04 : x
  2. Step 2: Convert to fraction form
    30,865.50/46,291.23 = 8,681.04/x
  3. Step 3: Cross multiply
    30,865.50x = 46,291.23 × 8,681.04
  4. Step 4: Simplify right side
    30,865.50x = 401,856,019.28
  5. Step 5: Solve for x
    x = 401,856,019.28/30,865.50
  6. Step 6: Final answer
    x = 13,019.59

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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.