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Finding the Fourth Proportional to 30,708.54, 42,379.83 and 23,141.52

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Solution

The fourth proportional to 30,708.54, 42,379.83 and 23,141.52 is: 31,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.54 : 42,379.83 = 23,141.52 : x
  2. Step 2: Convert to fraction form
    30,708.54/42,379.83 = 23,141.52/x
  3. Step 3: Cross multiply
    30,708.54x = 42,379.83 × 23,141.52
  4. Step 4: Simplify right side
    30,708.54x = 980,733,683.54
  5. Step 5: Solve for x
    x = 980,733,683.54/30,708.54
  6. Step 6: Final answer
    x = 31,936.84

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