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Finding the Fourth Proportional to 30,438.96, 45,662.08 and 12,906.50

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Solution

The fourth proportional to 30,438.96, 45,662.08 and 12,906.50 is: 19,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.96 : 45,662.08 = 12,906.50 : x
  2. Step 2: Convert to fraction form
    30,438.96/45,662.08 = 12,906.50/x
  3. Step 3: Cross multiply
    30,438.96x = 45,662.08 × 12,906.50
  4. Step 4: Simplify right side
    30,438.96x = 589,337,635.52
  5. Step 5: Solve for x
    x = 589,337,635.52/30,438.96
  6. Step 6: Final answer
    x = 19,361.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.