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Finding the Fourth Proportional to 49,620.40, 74,438.80 and 22,993

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Solution

The fourth proportional to 49,620.40, 74,438.80 and 22,993 is: 34,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,620.40 : 74,438.80 = 22,993 : x
  2. Step 2: Convert to fraction form
    49,620.40/74,438.80 = 22,993/x
  3. Step 3: Cross multiply
    49,620.40x = 74,438.80 × 22,993
  4. Step 4: Simplify right side
    49,620.40x = 1,711,571,328.40
  5. Step 5: Solve for x
    x = 1,711,571,328.40/49,620.40
  6. Step 6: Final answer
    x = 34,493.30

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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.