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Finding the Fourth Proportional to 55,957.46, 83,847.98 and 33,412.86

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Solution

The fourth proportional to 55,957.46, 83,847.98 and 33,412.86 is: 50,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,957.46 : 83,847.98 = 33,412.86 : x
  2. Step 2: Convert to fraction form
    55,957.46/83,847.98 = 33,412.86/x
  3. Step 3: Cross multiply
    55,957.46x = 83,847.98 × 33,412.86
  4. Step 4: Simplify right side
    55,957.46x = 2,801,600,817.02
  5. Step 5: Solve for x
    x = 2,801,600,817.02/55,957.46
  6. Step 6: Final answer
    x = 50,066.62

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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.