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Finding the Fourth Proportional to 65,996.16, 98,992.74 and 16,076.52

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Solution

The fourth proportional to 65,996.16, 98,992.74 and 16,076.52 is: 24,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,996.16 : 98,992.74 = 16,076.52 : x
  2. Step 2: Convert to fraction form
    65,996.16/98,992.74 = 16,076.52/x
  3. Step 3: Cross multiply
    65,996.16x = 98,992.74 × 16,076.52
  4. Step 4: Simplify right side
    65,996.16x = 1,591,458,764.46
  5. Step 5: Solve for x
    x = 1,591,458,764.46/65,996.16
  6. Step 6: Final answer
    x = 24,114.41

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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.