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Finding the Fourth Proportional to 31,309.29, 46,963.90 and 7,616.69

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Solution

The fourth proportional to 31,309.29, 46,963.90 and 7,616.69 is: 11,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309.29 : 46,963.90 = 7,616.69 : x
  2. Step 2: Convert to fraction form
    31,309.29/46,963.90 = 7,616.69/x
  3. Step 3: Cross multiply
    31,309.29x = 46,963.90 × 7,616.69
  4. Step 4: Simplify right side
    31,309.29x = 357,709,418.31
  5. Step 5: Solve for x
    x = 357,709,418.31/31,309.29
  6. Step 6: Final answer
    x = 11,425.02

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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.