Home / 31,278.24-46,930.32-17,424

Finding the Fourth Proportional to 31,278.24, 46,930.32 and 17,424

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Solution

The fourth proportional to 31,278.24, 46,930.32 and 17,424 is: 26,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278.24 : 46,930.32 = 17,424 : x
  2. Step 2: Convert to fraction form
    31,278.24/46,930.32 = 17,424/x
  3. Step 3: Cross multiply
    31,278.24x = 46,930.32 × 17,424
  4. Step 4: Simplify right side
    31,278.24x = 817,713,895.68
  5. Step 5: Solve for x
    x = 817,713,895.68/31,278.24
  6. Step 6: Final answer
    x = 26,143.22

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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.