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Finding the Fourth Proportional to 51,659.00, 71,280.96 and 30,435.38

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Solution

The fourth proportional to 51,659.00, 71,280.96 and 30,435.38 is: 41,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,659.00 : 71,280.96 = 30,435.38 : x
  2. Step 2: Convert to fraction form
    51,659.00/71,280.96 = 30,435.38/x
  3. Step 3: Cross multiply
    51,659.00x = 71,280.96 × 30,435.38
  4. Step 4: Simplify right side
    51,659.00x = 2,169,463,072.33
  5. Step 5: Solve for x
    x = 2,169,463,072.33/51,659.00
  6. Step 6: Final answer
    x = 41,995.84

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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.