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Finding the Fourth Proportional to 32,871, 45,362.16 and 17,967

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Solution

The fourth proportional to 32,871, 45,362.16 and 17,967 is: 24,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871 : 45,362.16 = 17,967 : x
  2. Step 2: Convert to fraction form
    32,871/45,362.16 = 17,967/x
  3. Step 3: Cross multiply
    32,871x = 45,362.16 × 17,967
  4. Step 4: Simplify right side
    32,871x = 815,021,928.72
  5. Step 5: Solve for x
    x = 815,021,928.72/32,871
  6. Step 6: Final answer
    x = 24,794.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.