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Finding the Fourth Proportional to 97,846.38, 135,032.67 and 55,404

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Solution

The fourth proportional to 97,846.38, 135,032.67 and 55,404 is: 76,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,846.38 : 135,032.67 = 55,404 : x
  2. Step 2: Convert to fraction form
    97,846.38/135,032.67 = 55,404/x
  3. Step 3: Cross multiply
    97,846.38x = 135,032.67 × 55,404
  4. Step 4: Simplify right side
    97,846.38x = 7,481,350,048.68
  5. Step 5: Solve for x
    x = 7,481,350,048.68/97,846.38
  6. Step 6: Final answer
    x = 76,460.16

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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.