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Finding the Fourth Proportional to 31,305.63, 46,976.87 and 11,597.93

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Solution

The fourth proportional to 31,305.63, 46,976.87 and 11,597.93 is: 17,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.63 : 46,976.87 = 11,597.93 : x
  2. Step 2: Convert to fraction form
    31,305.63/46,976.87 = 11,597.93/x
  3. Step 3: Cross multiply
    31,305.63x = 46,976.87 × 11,597.93
  4. Step 4: Simplify right side
    31,305.63x = 544,834,243.99
  5. Step 5: Solve for x
    x = 544,834,243.99/31,305.63
  6. Step 6: Final answer
    x = 17,403.71

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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.