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Finding the Fourth Proportional to 31,385.57, 47,078.28 and 19,706.99

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Solution

The fourth proportional to 31,385.57, 47,078.28 and 19,706.99 is: 29,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.57 : 47,078.28 = 19,706.99 : x
  2. Step 2: Convert to fraction form
    31,385.57/47,078.28 = 19,706.99/x
  3. Step 3: Cross multiply
    31,385.57x = 47,078.28 × 19,706.99
  4. Step 4: Simplify right side
    31,385.57x = 927,770,957.79
  5. Step 5: Solve for x
    x = 927,770,957.79/31,385.57
  6. Step 6: Final answer
    x = 29,560.44

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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.