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Finding the Fourth Proportional to 31,606.98, 47,382.62 and 12,902.73

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Solution

The fourth proportional to 31,606.98, 47,382.62 and 12,902.73 is: 19,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.98 : 47,382.62 = 12,902.73 : x
  2. Step 2: Convert to fraction form
    31,606.98/47,382.62 = 12,902.73/x
  3. Step 3: Cross multiply
    31,606.98x = 47,382.62 × 12,902.73
  4. Step 4: Simplify right side
    31,606.98x = 611,365,152.55
  5. Step 5: Solve for x
    x = 611,365,152.55/31,606.98
  6. Step 6: Final answer
    x = 19,342.73

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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.