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Finding the Fourth Proportional to 89,096.38, 122,952.99 and 53,286.40

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Solution

The fourth proportional to 89,096.38, 122,952.99 and 53,286.40 is: 73,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,096.38 : 122,952.99 = 53,286.40 : x
  2. Step 2: Convert to fraction form
    89,096.38/122,952.99 = 53,286.40/x
  3. Step 3: Cross multiply
    89,096.38x = 122,952.99 × 53,286.40
  4. Step 4: Simplify right side
    89,096.38x = 6,551,722,206.34
  5. Step 5: Solve for x
    x = 6,551,722,206.34/89,096.38
  6. Step 6: Final answer
    x = 73,535.22

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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.