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Finding the Fourth Proportional to 30,574.53, 45,858.72 and 8,390.14

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Solution

The fourth proportional to 30,574.53, 45,858.72 and 8,390.14 is: 12,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.53 : 45,858.72 = 8,390.14 : x
  2. Step 2: Convert to fraction form
    30,574.53/45,858.72 = 8,390.14/x
  3. Step 3: Cross multiply
    30,574.53x = 45,858.72 × 8,390.14
  4. Step 4: Simplify right side
    30,574.53x = 384,761,081.02
  5. Step 5: Solve for x
    x = 384,761,081.02/30,574.53
  6. Step 6: Final answer
    x = 12,584.37

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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.