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Finding the Fourth Proportional to 41,770.64, 62,649.60 and 13,693.64

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Solution

The fourth proportional to 41,770.64, 62,649.60 and 13,693.64 is: 20,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,770.64 : 62,649.60 = 13,693.64 : x
  2. Step 2: Convert to fraction form
    41,770.64/62,649.60 = 13,693.64/x
  3. Step 3: Cross multiply
    41,770.64x = 62,649.60 × 13,693.64
  4. Step 4: Simplify right side
    41,770.64x = 857,901,068.54
  5. Step 5: Solve for x
    x = 857,901,068.54/41,770.64
  6. Step 6: Final answer
    x = 20,538.38

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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.