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Finding the Fourth Proportional to 31,335.80, 46,999.07 and 9,143.21

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Solution

The fourth proportional to 31,335.80, 46,999.07 and 9,143.21 is: 13,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.80 : 46,999.07 = 9,143.21 : x
  2. Step 2: Convert to fraction form
    31,335.80/46,999.07 = 9,143.21/x
  3. Step 3: Cross multiply
    31,335.80x = 46,999.07 × 9,143.21
  4. Step 4: Simplify right side
    31,335.80x = 429,722,472.88
  5. Step 5: Solve for x
    x = 429,722,472.88/31,335.80
  6. Step 6: Final answer
    x = 13,713.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.