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Finding the Fourth Proportional to 31,302, 46,952.96 and 7,930.26

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Solution

The fourth proportional to 31,302, 46,952.96 and 7,930.26 is: 11,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302 : 46,952.96 = 7,930.26 : x
  2. Step 2: Convert to fraction form
    31,302/46,952.96 = 7,930.26/x
  3. Step 3: Cross multiply
    31,302x = 46,952.96 × 7,930.26
  4. Step 4: Simplify right side
    31,302x = 372,349,140.92
  5. Step 5: Solve for x
    x = 372,349,140.92/31,302
  6. Step 6: Final answer
    x = 11,895.38

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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.