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Finding the Fourth Proportional to 55,224, 76,216.32 and 32,868

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Solution

The fourth proportional to 55,224, 76,216.32 and 32,868 is: 45,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224 : 76,216.32 = 32,868 : x
  2. Step 2: Convert to fraction form
    55,224/76,216.32 = 32,868/x
  3. Step 3: Cross multiply
    55,224x = 76,216.32 × 32,868
  4. Step 4: Simplify right side
    55,224x = 2,505,078,005.76
  5. Step 5: Solve for x
    x = 2,505,078,005.76/55,224
  6. Step 6: Final answer
    x = 45,362.13

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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.