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Finding the Fourth Proportional to 32,184.44, 44,399.46 and 20,075

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Solution

The fourth proportional to 32,184.44, 44,399.46 and 20,075 is: 27,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.44 : 44,399.46 = 20,075 : x
  2. Step 2: Convert to fraction form
    32,184.44/44,399.46 = 20,075/x
  3. Step 3: Cross multiply
    32,184.44x = 44,399.46 × 20,075
  4. Step 4: Simplify right side
    32,184.44x = 891,319,159.50
  5. Step 5: Solve for x
    x = 891,319,159.50/32,184.44
  6. Step 6: Final answer
    x = 27,694.10

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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.