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Finding the Fourth Proportional to 49,706.08, 74,354.09 and 31,909.37

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Solution

The fourth proportional to 49,706.08, 74,354.09 and 31,909.37 is: 47,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706.08 : 74,354.09 = 31,909.37 : x
  2. Step 2: Convert to fraction form
    49,706.08/74,354.09 = 31,909.37/x
  3. Step 3: Cross multiply
    49,706.08x = 74,354.09 × 31,909.37
  4. Step 4: Simplify right side
    49,706.08x = 2,372,591,637.51
  5. Step 5: Solve for x
    x = 2,372,591,637.51/49,706.08
  6. Step 6: Final answer
    x = 47,732.43

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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.