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Finding the Fourth Proportional to 53,662.67, 80,494 and 18,602.32

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Solution

The fourth proportional to 53,662.67, 80,494 and 18,602.32 is: 27,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,662.67 : 80,494 = 18,602.32 : x
  2. Step 2: Convert to fraction form
    53,662.67/80,494 = 18,602.32/x
  3. Step 3: Cross multiply
    53,662.67x = 80,494 × 18,602.32
  4. Step 4: Simplify right side
    53,662.67x = 1,497,375,146.08
  5. Step 5: Solve for x
    x = 1,497,375,146.08/53,662.67
  6. Step 6: Final answer
    x = 27,903.48

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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.