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Finding the Fourth Proportional to 30,382.34, 45,423.74 and 25,754.12

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Solution

The fourth proportional to 30,382.34, 45,423.74 and 25,754.12 is: 38,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.34 : 45,423.74 = 25,754.12 : x
  2. Step 2: Convert to fraction form
    30,382.34/45,423.74 = 25,754.12/x
  3. Step 3: Cross multiply
    30,382.34x = 45,423.74 × 25,754.12
  4. Step 4: Simplify right side
    30,382.34x = 1,169,848,450.81
  5. Step 5: Solve for x
    x = 1,169,848,450.81/30,382.34
  6. Step 6: Final answer
    x = 38,504.22

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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.