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Finding the Fourth Proportional to 32,200.20, 44,430.12 and 19,450.80

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Solution

The fourth proportional to 32,200.20, 44,430.12 and 19,450.80 is: 26,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.20 : 44,430.12 = 19,450.80 : x
  2. Step 2: Convert to fraction form
    32,200.20/44,430.12 = 19,450.80/x
  3. Step 3: Cross multiply
    32,200.20x = 44,430.12 × 19,450.80
  4. Step 4: Simplify right side
    32,200.20x = 864,201,378.10
  5. Step 5: Solve for x
    x = 864,201,378.10/32,200.20
  6. Step 6: Final answer
    x = 26,838.39

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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.