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Finding the Fourth Proportional to 55,905.50, 83,807.22 and 51,035.78

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Solution

The fourth proportional to 55,905.50, 83,807.22 and 51,035.78 is: 76,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,905.50 : 83,807.22 = 51,035.78 : x
  2. Step 2: Convert to fraction form
    55,905.50/83,807.22 = 51,035.78/x
  3. Step 3: Cross multiply
    55,905.50x = 83,807.22 × 51,035.78
  4. Step 4: Simplify right side
    55,905.50x = 4,277,166,842.33
  5. Step 5: Solve for x
    x = 4,277,166,842.33/55,905.50
  6. Step 6: Final answer
    x = 76,507.09

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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.