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Finding the Fourth Proportional to 30,696.36, 46,044.36 and 7,900.17

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Solution

The fourth proportional to 30,696.36, 46,044.36 and 7,900.17 is: 11,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.36 : 46,044.36 = 7,900.17 : x
  2. Step 2: Convert to fraction form
    30,696.36/46,044.36 = 7,900.17/x
  3. Step 3: Cross multiply
    30,696.36x = 46,044.36 × 7,900.17
  4. Step 4: Simplify right side
    30,696.36x = 363,758,271.54
  5. Step 5: Solve for x
    x = 363,758,271.54/30,696.36
  6. Step 6: Final answer
    x = 11,850.21

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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.