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Finding the Fourth Proportional to 30,733.32, 46,072.46 and 12,009

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Solution

The fourth proportional to 30,733.32, 46,072.46 and 12,009 is: 18,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.32 : 46,072.46 = 12,009 : x
  2. Step 2: Convert to fraction form
    30,733.32/46,072.46 = 12,009/x
  3. Step 3: Cross multiply
    30,733.32x = 46,072.46 × 12,009
  4. Step 4: Simplify right side
    30,733.32x = 553,284,172.14
  5. Step 5: Solve for x
    x = 553,284,172.14/30,733.32
  6. Step 6: Final answer
    x = 18,002.75

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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.