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Finding the Fourth Proportional to 31,496.90, 47,221.89 and 14,847.45

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Solution

The fourth proportional to 31,496.90, 47,221.89 and 14,847.45 is: 22,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496.90 : 47,221.89 = 14,847.45 : x
  2. Step 2: Convert to fraction form
    31,496.90/47,221.89 = 14,847.45/x
  3. Step 3: Cross multiply
    31,496.90x = 47,221.89 × 14,847.45
  4. Step 4: Simplify right side
    31,496.90x = 701,124,683.54
  5. Step 5: Solve for x
    x = 701,124,683.54/31,496.90
  6. Step 6: Final answer
    x = 22,260.12

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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.