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Finding the Fourth Proportional to 30,241.64, 45,367.93 and 12,462.41

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Solution

The fourth proportional to 30,241.64, 45,367.93 and 12,462.41 is: 18,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.64 : 45,367.93 = 12,462.41 : x
  2. Step 2: Convert to fraction form
    30,241.64/45,367.93 = 12,462.41/x
  3. Step 3: Cross multiply
    30,241.64x = 45,367.93 × 12,462.41
  4. Step 4: Simplify right side
    30,241.64x = 565,393,873.51
  5. Step 5: Solve for x
    x = 565,393,873.51/30,241.64
  6. Step 6: Final answer
    x = 18,695.87

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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.