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Finding the Fourth Proportional to 32,004.80, 44,190.24 and 19,446.40

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Solution

The fourth proportional to 32,004.80, 44,190.24 and 19,446.40 is: 26,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.80 : 44,190.24 = 19,446.40 : x
  2. Step 2: Convert to fraction form
    32,004.80/44,190.24 = 19,446.40/x
  3. Step 3: Cross multiply
    32,004.80x = 44,190.24 × 19,446.40
  4. Step 4: Simplify right side
    32,004.80x = 859,341,083.14
  5. Step 5: Solve for x
    x = 859,341,083.14/32,004.80
  6. Step 6: Final answer
    x = 26,850.38

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Why These Related Problems?

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