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Finding the Fourth Proportional to 63,993, 96,024.06 and 31,161

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Solution

The fourth proportional to 63,993, 96,024.06 and 31,161 is: 46,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,993 : 96,024.06 = 31,161 : x
  2. Step 2: Convert to fraction form
    63,993/96,024.06 = 31,161/x
  3. Step 3: Cross multiply
    63,993x = 96,024.06 × 31,161
  4. Step 4: Simplify right side
    63,993x = 2,992,205,733.66
  5. Step 5: Solve for x
    x = 2,992,205,733.66/63,993
  6. Step 6: Final answer
    x = 46,758.33

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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.