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Finding the Fourth Proportional to 57,086.84, 85,629.62 and 22,001.88

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Solution

The fourth proportional to 57,086.84, 85,629.62 and 22,001.88 is: 33,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,086.84 : 85,629.62 = 22,001.88 : x
  2. Step 2: Convert to fraction form
    57,086.84/85,629.62 = 22,001.88/x
  3. Step 3: Cross multiply
    57,086.84x = 85,629.62 × 22,001.88
  4. Step 4: Simplify right side
    57,086.84x = 1,884,012,623.69
  5. Step 5: Solve for x
    x = 1,884,012,623.69/57,086.84
  6. Step 6: Final answer
    x = 33,002.57

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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.