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Finding the Fourth Proportional to 42,650.78, 58,856.71 and 23,530.54

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Solution

The fourth proportional to 42,650.78, 58,856.71 and 23,530.54 is: 32,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,650.78 : 58,856.71 = 23,530.54 : x
  2. Step 2: Convert to fraction form
    42,650.78/58,856.71 = 23,530.54/x
  3. Step 3: Cross multiply
    42,650.78x = 58,856.71 × 23,530.54
  4. Step 4: Simplify right side
    42,650.78x = 1,384,930,168.92
  5. Step 5: Solve for x
    x = 1,384,930,168.92/42,650.78
  6. Step 6: Final answer
    x = 32,471.39

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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.