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Finding the Fourth Proportional to 31,133.94, 46,652.31 and 17,992.50

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Solution

The fourth proportional to 31,133.94, 46,652.31 and 17,992.50 is: 26,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.94 : 46,652.31 = 17,992.50 : x
  2. Step 2: Convert to fraction form
    31,133.94/46,652.31 = 17,992.50/x
  3. Step 3: Cross multiply
    31,133.94x = 46,652.31 × 17,992.50
  4. Step 4: Simplify right side
    31,133.94x = 839,391,687.68
  5. Step 5: Solve for x
    x = 839,391,687.68/31,133.94
  6. Step 6: Final answer
    x = 26,960.66

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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.