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Finding the Fourth Proportional to 34,084.40, 47,075.84 and 22,734.17

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Solution

The fourth proportional to 34,084.40, 47,075.84 and 22,734.17 is: 31,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,084.40 : 47,075.84 = 22,734.17 : x
  2. Step 2: Convert to fraction form
    34,084.40/47,075.84 = 22,734.17/x
  3. Step 3: Cross multiply
    34,084.40x = 47,075.84 × 22,734.17
  4. Step 4: Simplify right side
    34,084.40x = 1,070,229,800.40
  5. Step 5: Solve for x
    x = 1,070,229,800.40/34,084.40
  6. Step 6: Final answer
    x = 31,399.41

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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.