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Finding the Fourth Proportional to 72,914, 109,390.44 and 35,978

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Solution

The fourth proportional to 72,914, 109,390.44 and 35,978 is: 53,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,914 : 109,390.44 = 35,978 : x
  2. Step 2: Convert to fraction form
    72,914/109,390.44 = 35,978/x
  3. Step 3: Cross multiply
    72,914x = 109,390.44 × 35,978
  4. Step 4: Simplify right side
    72,914x = 3,935,649,250.32
  5. Step 5: Solve for x
    x = 3,935,649,250.32/72,914
  6. Step 6: Final answer
    x = 53,976.59

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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.