Home / 31,095.36-46,632.24-10,314

Finding the Fourth Proportional to 31,095.36, 46,632.24 and 10,314

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Solution

The fourth proportional to 31,095.36, 46,632.24 and 10,314 is: 15,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.36 : 46,632.24 = 10,314 : x
  2. Step 2: Convert to fraction form
    31,095.36/46,632.24 = 10,314/x
  3. Step 3: Cross multiply
    31,095.36x = 46,632.24 × 10,314
  4. Step 4: Simplify right side
    31,095.36x = 480,964,923.36
  5. Step 5: Solve for x
    x = 480,964,923.36/31,095.36
  6. Step 6: Final answer
    x = 15,467.42

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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.