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Finding the Fourth Proportional to 31,101.84, 46,651.77 and 7,728.21

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Solution

The fourth proportional to 31,101.84, 46,651.77 and 7,728.21 is: 11,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,101.84 : 46,651.77 = 7,728.21 : x
  2. Step 2: Convert to fraction form
    31,101.84/46,651.77 = 7,728.21/x
  3. Step 3: Cross multiply
    31,101.84x = 46,651.77 × 7,728.21
  4. Step 4: Simplify right side
    31,101.84x = 360,534,675.43
  5. Step 5: Solve for x
    x = 360,534,675.43/31,101.84
  6. Step 6: Final answer
    x = 11,592.07

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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.