Home / 31,078-46,617.14-10,301.50

Finding the Fourth Proportional to 31,078, 46,617.14 and 10,301.50

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Solution

The fourth proportional to 31,078, 46,617.14 and 10,301.50 is: 15,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078 : 46,617.14 = 10,301.50 : x
  2. Step 2: Convert to fraction form
    31,078/46,617.14 = 10,301.50/x
  3. Step 3: Cross multiply
    31,078x = 46,617.14 × 10,301.50
  4. Step 4: Simplify right side
    31,078x = 480,226,467.71
  5. Step 5: Solve for x
    x = 480,226,467.71/31,078
  6. Step 6: Final answer
    x = 15,452.30

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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.