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Finding the Fourth Proportional to 30,806.36, 46,175.65 and 12,082.91

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Solution

The fourth proportional to 30,806.36, 46,175.65 and 12,082.91 is: 18,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.36 : 46,175.65 = 12,082.91 : x
  2. Step 2: Convert to fraction form
    30,806.36/46,175.65 = 12,082.91/x
  3. Step 3: Cross multiply
    30,806.36x = 46,175.65 × 12,082.91
  4. Step 4: Simplify right side
    30,806.36x = 557,936,223.14
  5. Step 5: Solve for x
    x = 557,936,223.14/30,806.36
  6. Step 6: Final answer
    x = 18,111.07

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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.