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Finding the Fourth Proportional to 30,149.50, 41,606.32 and 16,722.80

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Solution

The fourth proportional to 30,149.50, 41,606.32 and 16,722.80 is: 23,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.50 : 41,606.32 = 16,722.80 : x
  2. Step 2: Convert to fraction form
    30,149.50/41,606.32 = 16,722.80/x
  3. Step 3: Cross multiply
    30,149.50x = 41,606.32 × 16,722.80
  4. Step 4: Simplify right side
    30,149.50x = 695,774,168.10
  5. Step 5: Solve for x
    x = 695,774,168.10/30,149.50
  6. Step 6: Final answer
    x = 23,077.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.