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Finding the Fourth Proportional to 57,614.16, 86,421.22 and 18,174.34

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Solution

The fourth proportional to 57,614.16, 86,421.22 and 18,174.34 is: 27,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,614.16 : 86,421.22 = 18,174.34 : x
  2. Step 2: Convert to fraction form
    57,614.16/86,421.22 = 18,174.34/x
  3. Step 3: Cross multiply
    57,614.16x = 86,421.22 × 18,174.34
  4. Step 4: Simplify right side
    57,614.16x = 1,570,648,635.49
  5. Step 5: Solve for x
    x = 1,570,648,635.49/57,614.16
  6. Step 6: Final answer
    x = 27,261.50

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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.