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Finding the Fourth Proportional to 30,086.46, 45,129.96 and 11,361.60

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Solution

The fourth proportional to 30,086.46, 45,129.96 and 11,361.60 is: 17,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,086.46 : 45,129.96 = 11,361.60 : x
  2. Step 2: Convert to fraction form
    30,086.46/45,129.96 = 11,361.60/x
  3. Step 3: Cross multiply
    30,086.46x = 45,129.96 × 11,361.60
  4. Step 4: Simplify right side
    30,086.46x = 512,748,553.54
  5. Step 5: Solve for x
    x = 512,748,553.54/30,086.46
  6. Step 6: Final answer
    x = 17,042.50

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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.