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Finding the Fourth Proportional to 30,802.69, 46,209.02 and 12,072.57

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Solution

The fourth proportional to 30,802.69, 46,209.02 and 12,072.57 is: 18,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.69 : 46,209.02 = 12,072.57 : x
  2. Step 2: Convert to fraction form
    30,802.69/46,209.02 = 12,072.57/x
  3. Step 3: Cross multiply
    30,802.69x = 46,209.02 × 12,072.57
  4. Step 4: Simplify right side
    30,802.69x = 557,861,628.58
  5. Step 5: Solve for x
    x = 557,861,628.58/30,802.69
  6. Step 6: Final answer
    x = 18,110.81

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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.