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Finding the Fourth Proportional to 30,770.40, 46,251.94 and 20,307.65

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Solution

The fourth proportional to 30,770.40, 46,251.94 and 20,307.65 is: 30,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.40 : 46,251.94 = 20,307.65 : x
  2. Step 2: Convert to fraction form
    30,770.40/46,251.94 = 20,307.65/x
  3. Step 3: Cross multiply
    30,770.40x = 46,251.94 × 20,307.65
  4. Step 4: Simplify right side
    30,770.40x = 939,268,209.34
  5. Step 5: Solve for x
    x = 939,268,209.34/30,770.40
  6. Step 6: Final answer
    x = 30,525.06

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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.