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Finding the Fourth Proportional to 64,648.12, 96,983.12 and 33,071.89

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Solution

The fourth proportional to 64,648.12, 96,983.12 and 33,071.89 is: 49,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,648.12 : 96,983.12 = 33,071.89 : x
  2. Step 2: Convert to fraction form
    64,648.12/96,983.12 = 33,071.89/x
  3. Step 3: Cross multiply
    64,648.12x = 96,983.12 × 33,071.89
  4. Step 4: Simplify right side
    64,648.12x = 3,207,415,076.50
  5. Step 5: Solve for x
    x = 3,207,415,076.50/64,648.12
  6. Step 6: Final answer
    x = 49,613.43

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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.