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Finding the Fourth Proportional to 30,745.36, 46,136.40 and 13,214.80

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Solution

The fourth proportional to 30,745.36, 46,136.40 and 13,214.80 is: 19,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.36 : 46,136.40 = 13,214.80 : x
  2. Step 2: Convert to fraction form
    30,745.36/46,136.40 = 13,214.80/x
  3. Step 3: Cross multiply
    30,745.36x = 46,136.40 × 13,214.80
  4. Step 4: Simplify right side
    30,745.36x = 609,683,298.72
  5. Step 5: Solve for x
    x = 609,683,298.72/30,745.36
  6. Step 6: Final answer
    x = 19,830.09

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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.