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Finding the Fourth Proportional to 51,107.75, 70,529.78 and 28,751.75

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Solution

The fourth proportional to 51,107.75, 70,529.78 and 28,751.75 is: 39,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,107.75 : 70,529.78 = 28,751.75 : x
  2. Step 2: Convert to fraction form
    51,107.75/70,529.78 = 28,751.75/x
  3. Step 3: Cross multiply
    51,107.75x = 70,529.78 × 28,751.75
  4. Step 4: Simplify right side
    51,107.75x = 2,027,854,602.12
  5. Step 5: Solve for x
    x = 2,027,854,602.12/51,107.75
  6. Step 6: Final answer
    x = 39,678.03

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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.