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Finding the Fourth Proportional to 64,617.76, 96,978.48 and 33,461.92

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Solution

The fourth proportional to 64,617.76, 96,978.48 and 33,461.92 is: 50,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,617.76 : 96,978.48 = 33,461.92 : x
  2. Step 2: Convert to fraction form
    64,617.76/96,978.48 = 33,461.92/x
  3. Step 3: Cross multiply
    64,617.76x = 96,978.48 × 33,461.92
  4. Step 4: Simplify right side
    64,617.76x = 3,245,086,139.48
  5. Step 5: Solve for x
    x = 3,245,086,139.48/64,617.76
  6. Step 6: Final answer
    x = 50,219.73

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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.