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Finding the Fourth Proportional to 42,771.80, 59,004.58 and 27,669.20

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Solution

The fourth proportional to 42,771.80, 59,004.58 and 27,669.20 is: 38,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771.80 : 59,004.58 = 27,669.20 : x
  2. Step 2: Convert to fraction form
    42,771.80/59,004.58 = 27,669.20/x
  3. Step 3: Cross multiply
    42,771.80x = 59,004.58 × 27,669.20
  4. Step 4: Simplify right side
    42,771.80x = 1,632,609,134.80
  5. Step 5: Solve for x
    x = 1,632,609,134.80/42,771.80
  6. Step 6: Final answer
    x = 38,170.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.