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Finding the Fourth Proportional to 51,532.94, 77,198.77 and 35,519.62

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Solution

The fourth proportional to 51,532.94, 77,198.77 and 35,519.62 is: 53,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,532.94 : 77,198.77 = 35,519.62 : x
  2. Step 2: Convert to fraction form
    51,532.94/77,198.77 = 35,519.62/x
  3. Step 3: Cross multiply
    51,532.94x = 77,198.77 × 35,519.62
  4. Step 4: Simplify right side
    51,532.94x = 2,742,070,974.87
  5. Step 5: Solve for x
    x = 2,742,070,974.87/51,532.94
  6. Step 6: Final answer
    x = 53,210.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.