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Finding the Fourth Proportional to 65,108.82, 89,835.57 and 39,628.38

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Solution

The fourth proportional to 65,108.82, 89,835.57 and 39,628.38 is: 54,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108.82 : 89,835.57 = 39,628.38 : x
  2. Step 2: Convert to fraction form
    65,108.82/89,835.57 = 39,628.38/x
  3. Step 3: Cross multiply
    65,108.82x = 89,835.57 × 39,628.38
  4. Step 4: Simplify right side
    65,108.82x = 3,560,038,105.48
  5. Step 5: Solve for x
    x = 3,560,038,105.48/65,108.82
  6. Step 6: Final answer
    x = 54,678.28

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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.