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Finding the Fourth Proportional to 61,647.71, 92,471.96 and 20,094.71

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Solution

The fourth proportional to 61,647.71, 92,471.96 and 20,094.71 is: 30,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,647.71 : 92,471.96 = 20,094.71 : x
  2. Step 2: Convert to fraction form
    61,647.71/92,471.96 = 20,094.71/x
  3. Step 3: Cross multiply
    61,647.71x = 92,471.96 × 20,094.71
  4. Step 4: Simplify right side
    61,647.71x = 1,858,197,219.33
  5. Step 5: Solve for x
    x = 1,858,197,219.33/61,647.71
  6. Step 6: Final answer
    x = 30,142.19

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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.