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Finding the Fourth Proportional to 30,919.58, 46,370.25 and 13,150.21

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Solution

The fourth proportional to 30,919.58, 46,370.25 and 13,150.21 is: 19,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.58 : 46,370.25 = 13,150.21 : x
  2. Step 2: Convert to fraction form
    30,919.58/46,370.25 = 13,150.21/x
  3. Step 3: Cross multiply
    30,919.58x = 46,370.25 × 13,150.21
  4. Step 4: Simplify right side
    30,919.58x = 609,778,525.25
  5. Step 5: Solve for x
    x = 609,778,525.25/30,919.58
  6. Step 6: Final answer
    x = 19,721.44

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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.