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Finding the Fourth Proportional to 38,504.25, 57,782.30 and 13,880.25

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Solution

The fourth proportional to 38,504.25, 57,782.30 and 13,880.25 is: 20,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504.25 : 57,782.30 = 13,880.25 : x
  2. Step 2: Convert to fraction form
    38,504.25/57,782.30 = 13,880.25/x
  3. Step 3: Cross multiply
    38,504.25x = 57,782.30 × 13,880.25
  4. Step 4: Simplify right side
    38,504.25x = 802,032,700.17
  5. Step 5: Solve for x
    x = 802,032,700.17/38,504.25
  6. Step 6: Final answer
    x = 20,829.72

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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.