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Finding the Fourth Proportional to 52,933, 79,399.50 and 15,997

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Solution

The fourth proportional to 52,933, 79,399.50 and 15,997 is: 23,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,933 : 79,399.50 = 15,997 : x
  2. Step 2: Convert to fraction form
    52,933/79,399.50 = 15,997/x
  3. Step 3: Cross multiply
    52,933x = 79,399.50 × 15,997
  4. Step 4: Simplify right side
    52,933x = 1,270,153,801.50
  5. Step 5: Solve for x
    x = 1,270,153,801.50/52,933
  6. Step 6: Final answer
    x = 23,995.50

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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.