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Finding the Fourth Proportional to 101,735.37, 152,648.42 and 39,410.73

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Solution

The fourth proportional to 101,735.37, 152,648.42 and 39,410.73 is: 59,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,735.37 : 152,648.42 = 39,410.73 : x
  2. Step 2: Convert to fraction form
    101,735.37/152,648.42 = 39,410.73/x
  3. Step 3: Cross multiply
    101,735.37x = 152,648.42 × 39,410.73
  4. Step 4: Simplify right side
    101,735.37x = 6,015,985,468.49
  5. Step 5: Solve for x
    x = 6,015,985,468.49/101,735.37
  6. Step 6: Final answer
    x = 59,133.67

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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.