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Finding the Fourth Proportional to 30,906.30, 46,359.45 and 7,532.94

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Solution

The fourth proportional to 30,906.30, 46,359.45 and 7,532.94 is: 11,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.30 : 46,359.45 = 7,532.94 : x
  2. Step 2: Convert to fraction form
    30,906.30/46,359.45 = 7,532.94/x
  3. Step 3: Cross multiply
    30,906.30x = 46,359.45 × 7,532.94
  4. Step 4: Simplify right side
    30,906.30x = 349,222,955.28
  5. Step 5: Solve for x
    x = 349,222,955.28/30,906.30
  6. Step 6: Final answer
    x = 11,299.41

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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.