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Finding the Fourth Proportional to 30,494.39, 45,741.57 and 20,103.71

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Solution

The fourth proportional to 30,494.39, 45,741.57 and 20,103.71 is: 30,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.39 : 45,741.57 = 20,103.71 : x
  2. Step 2: Convert to fraction form
    30,494.39/45,741.57 = 20,103.71/x
  3. Step 3: Cross multiply
    30,494.39x = 45,741.57 × 20,103.71
  4. Step 4: Simplify right side
    30,494.39x = 919,575,258.22
  5. Step 5: Solve for x
    x = 919,575,258.22/30,494.39
  6. Step 6: Final answer
    x = 30,155.56

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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.