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Finding the Fourth Proportional to 31,126.36, 46,694.40 and 10,345

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Solution

The fourth proportional to 31,126.36, 46,694.40 and 10,345 is: 15,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,126.36 : 46,694.40 = 10,345 : x
  2. Step 2: Convert to fraction form
    31,126.36/46,694.40 = 10,345/x
  3. Step 3: Cross multiply
    31,126.36x = 46,694.40 × 10,345
  4. Step 4: Simplify right side
    31,126.36x = 483,053,568
  5. Step 5: Solve for x
    x = 483,053,568/31,126.36
  6. Step 6: Final answer
    x = 15,519.12

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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.