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Finding the Fourth Proportional to 41,461.80, 62,200.80 and 16,497.60

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Solution

The fourth proportional to 41,461.80, 62,200.80 and 16,497.60 is: 24,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,461.80 : 62,200.80 = 16,497.60 : x
  2. Step 2: Convert to fraction form
    41,461.80/62,200.80 = 16,497.60/x
  3. Step 3: Cross multiply
    41,461.80x = 62,200.80 × 16,497.60
  4. Step 4: Simplify right side
    41,461.80x = 1,026,163,918.08
  5. Step 5: Solve for x
    x = 1,026,163,918.08/41,461.80
  6. Step 6: Final answer
    x = 24,749.62

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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.