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Finding the Fourth Proportional to 97,896, 135,096.48 and 58,152

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Solution

The fourth proportional to 97,896, 135,096.48 and 58,152 is: 80,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,896 : 135,096.48 = 58,152 : x
  2. Step 2: Convert to fraction form
    97,896/135,096.48 = 58,152/x
  3. Step 3: Cross multiply
    97,896x = 135,096.48 × 58,152
  4. Step 4: Simplify right side
    97,896x = 7,856,130,504.96
  5. Step 5: Solve for x
    x = 7,856,130,504.96/97,896
  6. Step 6: Final answer
    x = 80,249.76

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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.