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Finding the Fourth Proportional to 30,919.50, 46,379.38 and 13,145.58

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Solution

The fourth proportional to 30,919.50, 46,379.38 and 13,145.58 is: 19,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.50 : 46,379.38 = 13,145.58 : x
  2. Step 2: Convert to fraction form
    30,919.50/46,379.38 = 13,145.58/x
  3. Step 3: Cross multiply
    30,919.50x = 46,379.38 × 13,145.58
  4. Step 4: Simplify right side
    30,919.50x = 609,683,850.14
  5. Step 5: Solve for x
    x = 609,683,850.14/30,919.50
  6. Step 6: Final answer
    x = 19,718.43

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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.