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Finding the Fourth Proportional to 55,512, 76,606.56 and 30,361.50

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Solution

The fourth proportional to 55,512, 76,606.56 and 30,361.50 is: 41,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,512 : 76,606.56 = 30,361.50 : x
  2. Step 2: Convert to fraction form
    55,512/76,606.56 = 30,361.50/x
  3. Step 3: Cross multiply
    55,512x = 76,606.56 × 30,361.50
  4. Step 4: Simplify right side
    55,512x = 2,325,890,071.44
  5. Step 5: Solve for x
    x = 2,325,890,071.44/55,512
  6. Step 6: Final answer
    x = 41,898.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.