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Finding the Fourth Proportional to 30,711.40, 46,115.70 and 23,324.20

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Solution

The fourth proportional to 30,711.40, 46,115.70 and 23,324.20 is: 35,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.40 : 46,115.70 = 23,324.20 : x
  2. Step 2: Convert to fraction form
    30,711.40/46,115.70 = 23,324.20/x
  3. Step 3: Cross multiply
    30,711.40x = 46,115.70 × 23,324.20
  4. Step 4: Simplify right side
    30,711.40x = 1,075,611,809.94
  5. Step 5: Solve for x
    x = 1,075,611,809.94/30,711.40
  6. Step 6: Final answer
    x = 35,023.21

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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.