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Finding the Fourth Proportional to 31,943.30, 47,922.23 and 9,759.83

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Solution

The fourth proportional to 31,943.30, 47,922.23 and 9,759.83 is: 14,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943.30 : 47,922.23 = 9,759.83 : x
  2. Step 2: Convert to fraction form
    31,943.30/47,922.23 = 9,759.83/x
  3. Step 3: Cross multiply
    31,943.30x = 47,922.23 × 9,759.83
  4. Step 4: Simplify right side
    31,943.30x = 467,712,602.81
  5. Step 5: Solve for x
    x = 467,712,602.81/31,943.30
  6. Step 6: Final answer
    x = 14,641.96

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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.