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Finding the Fourth Proportional to 31,194.99, 46,792.56 and 7,821.50

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Solution

The fourth proportional to 31,194.99, 46,792.56 and 7,821.50 is: 11,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.99 : 46,792.56 = 7,821.50 : x
  2. Step 2: Convert to fraction form
    31,194.99/46,792.56 = 7,821.50/x
  3. Step 3: Cross multiply
    31,194.99x = 46,792.56 × 7,821.50
  4. Step 4: Simplify right side
    31,194.99x = 365,987,774.08
  5. Step 5: Solve for x
    x = 365,987,774.08/31,194.99
  6. Step 6: Final answer
    x = 11,732.26

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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.