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Finding the Fourth Proportional to 97,081.96, 133,955.22 and 54,631.48

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Solution

The fourth proportional to 97,081.96, 133,955.22 and 54,631.48 is: 75,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,081.96 : 133,955.22 = 54,631.48 : x
  2. Step 2: Convert to fraction form
    97,081.96/133,955.22 = 54,631.48/x
  3. Step 3: Cross multiply
    97,081.96x = 133,955.22 × 54,631.48
  4. Step 4: Simplify right side
    97,081.96x = 7,318,171,922.33
  5. Step 5: Solve for x
    x = 7,318,171,922.33/97,081.96
  6. Step 6: Final answer
    x = 75,381.38

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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.