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Finding the Fourth Proportional to 82,046.90, 122,996.43 and 29,444.01

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Solution

The fourth proportional to 82,046.90, 122,996.43 and 29,444.01 is: 44,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,046.90 : 122,996.43 = 29,444.01 : x
  2. Step 2: Convert to fraction form
    82,046.90/122,996.43 = 29,444.01/x
  3. Step 3: Cross multiply
    82,046.90x = 122,996.43 × 29,444.01
  4. Step 4: Simplify right side
    82,046.90x = 3,621,508,114.88
  5. Step 5: Solve for x
    x = 3,621,508,114.88/82,046.90
  6. Step 6: Final answer
    x = 44,139.49

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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.