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Finding the Fourth Proportional to 42,784.78, 59,023.37 and 27,682.37

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Solution

The fourth proportional to 42,784.78, 59,023.37 and 27,682.37 is: 38,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,784.78 : 59,023.37 = 27,682.37 : x
  2. Step 2: Convert to fraction form
    42,784.78/59,023.37 = 27,682.37/x
  3. Step 3: Cross multiply
    42,784.78x = 59,023.37 × 27,682.37
  4. Step 4: Simplify right side
    42,784.78x = 1,633,906,806.49
  5. Step 5: Solve for x
    x = 1,633,906,806.49/42,784.78
  6. Step 6: Final answer
    x = 38,188.97

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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.