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Finding the Fourth Proportional to 35,478.60, 53,198.70 and 14,704.20

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Solution

The fourth proportional to 35,478.60, 53,198.70 and 14,704.20 is: 22,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.60 : 53,198.70 = 14,704.20 : x
  2. Step 2: Convert to fraction form
    35,478.60/53,198.70 = 14,704.20/x
  3. Step 3: Cross multiply
    35,478.60x = 53,198.70 × 14,704.20
  4. Step 4: Simplify right side
    35,478.60x = 782,244,324.54
  5. Step 5: Solve for x
    x = 782,244,324.54/35,478.60
  6. Step 6: Final answer
    x = 22,048.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.