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Finding the Fourth Proportional to 53,662.30, 80,461.45 and 32,900.70

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Solution

The fourth proportional to 53,662.30, 80,461.45 and 32,900.70 is: 49,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,662.30 : 80,461.45 = 32,900.70 : x
  2. Step 2: Convert to fraction form
    53,662.30/80,461.45 = 32,900.70/x
  3. Step 3: Cross multiply
    53,662.30x = 80,461.45 × 32,900.70
  4. Step 4: Simplify right side
    53,662.30x = 2,647,238,028.02
  5. Step 5: Solve for x
    x = 2,647,238,028.02/53,662.30
  6. Step 6: Final answer
    x = 49,331.43

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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.