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Finding the Fourth Proportional to 90,446.36, 135,676.01 and 23,885.82

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Solution

The fourth proportional to 90,446.36, 135,676.01 and 23,885.82 is: 35,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,446.36 : 135,676.01 = 23,885.82 : x
  2. Step 2: Convert to fraction form
    90,446.36/135,676.01 = 23,885.82/x
  3. Step 3: Cross multiply
    90,446.36x = 135,676.01 × 23,885.82
  4. Step 4: Simplify right side
    90,446.36x = 3,240,732,812.89
  5. Step 5: Solve for x
    x = 3,240,732,812.89/90,446.36
  6. Step 6: Final answer
    x = 35,830.44

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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.