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Finding the Fourth Proportional to 34,153.94, 47,137.04 and 20,012.42

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Solution

The fourth proportional to 34,153.94, 47,137.04 and 20,012.42 is: 27,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.94 : 47,137.04 = 20,012.42 : x
  2. Step 2: Convert to fraction form
    34,153.94/47,137.04 = 20,012.42/x
  3. Step 3: Cross multiply
    34,153.94x = 47,137.04 × 20,012.42
  4. Step 4: Simplify right side
    34,153.94x = 943,326,242.04
  5. Step 5: Solve for x
    x = 943,326,242.04/34,153.94
  6. Step 6: Final answer
    x = 27,619.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.