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Finding the Fourth Proportional to 82,027, 123,056.70 and 29,440.36

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Solution

The fourth proportional to 82,027, 123,056.70 and 29,440.36 is: 44,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027 : 123,056.70 = 29,440.36 : x
  2. Step 2: Convert to fraction form
    82,027/123,056.70 = 29,440.36/x
  3. Step 3: Cross multiply
    82,027x = 123,056.70 × 29,440.36
  4. Step 4: Simplify right side
    82,027x = 3,622,833,548.41
  5. Step 5: Solve for x
    x = 3,622,833,548.41/82,027
  6. Step 6: Final answer
    x = 44,166.35

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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.