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Finding the Fourth Proportional to 64,633.28, 96,947.40 and 33,042.98

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Solution

The fourth proportional to 64,633.28, 96,947.40 and 33,042.98 is: 49,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,633.28 : 96,947.40 = 33,042.98 : x
  2. Step 2: Convert to fraction form
    64,633.28/96,947.40 = 33,042.98/x
  3. Step 3: Cross multiply
    64,633.28x = 96,947.40 × 33,042.98
  4. Step 4: Simplify right side
    64,633.28x = 3,203,430,514.52
  5. Step 5: Solve for x
    x = 3,203,430,514.52/64,633.28
  6. Step 6: Final answer
    x = 49,563.18

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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.