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Finding the Fourth Proportional to 57,157.48, 85,743.51 and 17,716.96

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Solution

The fourth proportional to 57,157.48, 85,743.51 and 17,716.96 is: 26,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.48 : 85,743.51 = 17,716.96 : x
  2. Step 2: Convert to fraction form
    57,157.48/85,743.51 = 17,716.96/x
  3. Step 3: Cross multiply
    57,157.48x = 85,743.51 × 17,716.96
  4. Step 4: Simplify right side
    57,157.48x = 1,519,114,336.93
  5. Step 5: Solve for x
    x = 1,519,114,336.93/57,157.48
  6. Step 6: Final answer
    x = 26,577.70

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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.