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Finding the Fourth Proportional to 30,494.46, 45,720.09 and 11,758.62

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Solution

The fourth proportional to 30,494.46, 45,720.09 and 11,758.62 is: 17,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.46 : 45,720.09 = 11,758.62 : x
  2. Step 2: Convert to fraction form
    30,494.46/45,720.09 = 11,758.62/x
  3. Step 3: Cross multiply
    30,494.46x = 45,720.09 × 11,758.62
  4. Step 4: Simplify right side
    30,494.46x = 537,605,164.68
  5. Step 5: Solve for x
    x = 537,605,164.68/30,494.46
  6. Step 6: Final answer
    x = 17,629.60

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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.