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Finding the Fourth Proportional to 83,501.65, 125,221.36 and 33,564.92

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Solution

The fourth proportional to 83,501.65, 125,221.36 and 33,564.92 is: 50,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501.65 : 125,221.36 = 33,564.92 : x
  2. Step 2: Convert to fraction form
    83,501.65/125,221.36 = 33,564.92/x
  3. Step 3: Cross multiply
    83,501.65x = 125,221.36 × 33,564.92
  4. Step 4: Simplify right side
    83,501.65x = 4,203,044,136.76
  5. Step 5: Solve for x
    x = 4,203,044,136.76/83,501.65
  6. Step 6: Final answer
    x = 50,334.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.