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Finding the Fourth Proportional to 57,290.84, 85,936.26 and 17,851.14

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Solution

The fourth proportional to 57,290.84, 85,936.26 and 17,851.14 is: 26,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,290.84 : 85,936.26 = 17,851.14 : x
  2. Step 2: Convert to fraction form
    57,290.84/85,936.26 = 17,851.14/x
  3. Step 3: Cross multiply
    57,290.84x = 85,936.26 × 17,851.14
  4. Step 4: Simplify right side
    57,290.84x = 1,534,060,208.34
  5. Step 5: Solve for x
    x = 1,534,060,208.34/57,290.84
  6. Step 6: Final answer
    x = 26,776.71

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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.