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Finding the Fourth Proportional to 51,766.29, 71,435.61 and 28,796.00

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Solution

The fourth proportional to 51,766.29, 71,435.61 and 28,796.00 is: 39,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,766.29 : 71,435.61 = 28,796.00 : x
  2. Step 2: Convert to fraction form
    51,766.29/71,435.61 = 28,796.00/x
  3. Step 3: Cross multiply
    51,766.29x = 71,435.61 × 28,796.00
  4. Step 4: Simplify right side
    51,766.29x = 2,057,059,468.38
  5. Step 5: Solve for x
    x = 2,057,059,468.38/51,766.29
  6. Step 6: Final answer
    x = 39,737.43

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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.