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Finding the Fourth Proportional to 38,529.94, 57,773.02 and 22,958.50

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Solution

The fourth proportional to 38,529.94, 57,773.02 and 22,958.50 is: 34,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,529.94 : 57,773.02 = 22,958.50 : x
  2. Step 2: Convert to fraction form
    38,529.94/57,773.02 = 22,958.50/x
  3. Step 3: Cross multiply
    38,529.94x = 57,773.02 × 22,958.50
  4. Step 4: Simplify right side
    38,529.94x = 1,326,381,879.67
  5. Step 5: Solve for x
    x = 1,326,381,879.67/38,529.94
  6. Step 6: Final answer
    x = 34,424.71

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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.