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Finding the Fourth Proportional to 51,597.82, 71,200.84 and 28,628.38

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Solution

The fourth proportional to 51,597.82, 71,200.84 and 28,628.38 is: 39,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,597.82 : 71,200.84 = 28,628.38 : x
  2. Step 2: Convert to fraction form
    51,597.82/71,200.84 = 28,628.38/x
  3. Step 3: Cross multiply
    51,597.82x = 71,200.84 × 28,628.38
  4. Step 4: Simplify right side
    51,597.82x = 2,038,364,204.69
  5. Step 5: Solve for x
    x = 2,038,364,204.69/51,597.82
  6. Step 6: Final answer
    x = 39,504.86

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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.