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Finding the Fourth Proportional to 30,419.28, 45,639.36 and 12,659.49

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Solution

The fourth proportional to 30,419.28, 45,639.36 and 12,659.49 is: 18,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.28 : 45,639.36 = 12,659.49 : x
  2. Step 2: Convert to fraction form
    30,419.28/45,639.36 = 12,659.49/x
  3. Step 3: Cross multiply
    30,419.28x = 45,639.36 × 12,659.49
  4. Step 4: Simplify right side
    30,419.28x = 577,771,021.53
  5. Step 5: Solve for x
    x = 577,771,021.53/30,419.28
  6. Step 6: Final answer
    x = 18,993.58

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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.