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Finding the Fourth Proportional to 57,982.72, 86,984.88 and 18,549.76

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Solution

The fourth proportional to 57,982.72, 86,984.88 and 18,549.76 is: 27,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,982.72 : 86,984.88 = 18,549.76 : x
  2. Step 2: Convert to fraction form
    57,982.72/86,984.88 = 18,549.76/x
  3. Step 3: Cross multiply
    57,982.72x = 86,984.88 × 18,549.76
  4. Step 4: Simplify right side
    57,982.72x = 1,613,548,647.63
  5. Step 5: Solve for x
    x = 1,613,548,647.63/57,982.72
  6. Step 6: Final answer
    x = 27,828.10

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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.