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Finding the Fourth Proportional to 30,136.38, 45,145.72 and 14,318.90

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Solution

The fourth proportional to 30,136.38, 45,145.72 and 14,318.90 is: 21,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.38 : 45,145.72 = 14,318.90 : x
  2. Step 2: Convert to fraction form
    30,136.38/45,145.72 = 14,318.90/x
  3. Step 3: Cross multiply
    30,136.38x = 45,145.72 × 14,318.90
  4. Step 4: Simplify right side
    30,136.38x = 646,437,050.11
  5. Step 5: Solve for x
    x = 646,437,050.11/30,136.38
  6. Step 6: Final answer
    x = 21,450.39

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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.