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Finding the Fourth Proportional to 30,807.62, 46,211.42 and 12,096.46

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Solution

The fourth proportional to 30,807.62, 46,211.42 and 12,096.46 is: 18,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.62 : 46,211.42 = 12,096.46 : x
  2. Step 2: Convert to fraction form
    30,807.62/46,211.42 = 12,096.46/x
  3. Step 3: Cross multiply
    30,807.62x = 46,211.42 × 12,096.46
  4. Step 4: Simplify right side
    30,807.62x = 558,994,302.03
  5. Step 5: Solve for x
    x = 558,994,302.03/30,807.62
  6. Step 6: Final answer
    x = 18,144.68

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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.