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Finding the Fourth Proportional to 29,648.80, 44,466 and 9,922.24

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Solution

The fourth proportional to 29,648.80, 44,466 and 9,922.24 is: 14,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,648.80 : 44,466 = 9,922.24 : x
  2. Step 2: Convert to fraction form
    29,648.80/44,466 = 9,922.24/x
  3. Step 3: Cross multiply
    29,648.80x = 44,466 × 9,922.24
  4. Step 4: Simplify right side
    29,648.80x = 441,202,323.84
  5. Step 5: Solve for x
    x = 441,202,323.84/29,648.80
  6. Step 6: Final answer
    x = 14,880.95

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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.