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Finding the Fourth Proportional to 65,178.44, 89,945.46 and 36,883.40

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Solution

The fourth proportional to 65,178.44, 89,945.46 and 36,883.40 is: 50,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178.44 : 89,945.46 = 36,883.40 : x
  2. Step 2: Convert to fraction form
    65,178.44/89,945.46 = 36,883.40/x
  3. Step 3: Cross multiply
    65,178.44x = 89,945.46 × 36,883.40
  4. Step 4: Simplify right side
    65,178.44x = 3,317,494,379.36
  5. Step 5: Solve for x
    x = 3,317,494,379.36/65,178.44
  6. Step 6: Final answer
    x = 50,898.65

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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.