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Finding the Fourth Proportional to 38,070.40, 57,107.84 and 14,696.96

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Solution

The fourth proportional to 38,070.40, 57,107.84 and 14,696.96 is: 22,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070.40 : 57,107.84 = 14,696.96 : x
  2. Step 2: Convert to fraction form
    38,070.40/57,107.84 = 14,696.96/x
  3. Step 3: Cross multiply
    38,070.40x = 57,107.84 × 14,696.96
  4. Step 4: Simplify right side
    38,070.40x = 839,311,640.17
  5. Step 5: Solve for x
    x = 839,311,640.17/38,070.40
  6. Step 6: Final answer
    x = 22,046.30

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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.