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Finding the Fourth Proportional to 72,933, 109,399.50 and 23,685

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Solution

The fourth proportional to 72,933, 109,399.50 and 23,685 is: 35,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,933 : 109,399.50 = 23,685 : x
  2. Step 2: Convert to fraction form
    72,933/109,399.50 = 23,685/x
  3. Step 3: Cross multiply
    72,933x = 109,399.50 × 23,685
  4. Step 4: Simplify right side
    72,933x = 2,591,127,157.50
  5. Step 5: Solve for x
    x = 2,591,127,157.50/72,933
  6. Step 6: Final answer
    x = 35,527.50

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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.