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Finding the Fourth Proportional to 51,905.76, 71,162.78 and 50,959.90

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Solution

The fourth proportional to 51,905.76, 71,162.78 and 50,959.90 is: 69,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905.76 : 71,162.78 = 50,959.90 : x
  2. Step 2: Convert to fraction form
    51,905.76/71,162.78 = 50,959.90/x
  3. Step 3: Cross multiply
    51,905.76x = 71,162.78 × 50,959.90
  4. Step 4: Simplify right side
    51,905.76x = 3,626,448,152.52
  5. Step 5: Solve for x
    x = 3,626,448,152.52/51,905.76
  6. Step 6: Final answer
    x = 69,866.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.