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Finding the Fourth Proportional to 59,852.92, 82,596 and 32,997.92

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Solution

The fourth proportional to 59,852.92, 82,596 and 32,997.92 is: 45,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,852.92 : 82,596 = 32,997.92 : x
  2. Step 2: Convert to fraction form
    59,852.92/82,596 = 32,997.92/x
  3. Step 3: Cross multiply
    59,852.92x = 82,596 × 32,997.92
  4. Step 4: Simplify right side
    59,852.92x = 2,725,496,200.32
  5. Step 5: Solve for x
    x = 2,725,496,200.32/59,852.92
  6. Step 6: Final answer
    x = 45,536.56

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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.