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Finding the Fourth Proportional to 97,745.96, 146,630.55 and 34,553.04

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Solution

The fourth proportional to 97,745.96, 146,630.55 and 34,553.04 is: 51,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,745.96 : 146,630.55 = 34,553.04 : x
  2. Step 2: Convert to fraction form
    97,745.96/146,630.55 = 34,553.04/x
  3. Step 3: Cross multiply
    97,745.96x = 146,630.55 × 34,553.04
  4. Step 4: Simplify right side
    97,745.96x = 5,066,531,259.37
  5. Step 5: Solve for x
    x = 5,066,531,259.37/97,745.96
  6. Step 6: Final answer
    x = 51,833.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.