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Finding the Fourth Proportional to 38,415.41, 53,016.77 and 23,311.92

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Solution

The fourth proportional to 38,415.41, 53,016.77 and 23,311.92 is: 32,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.41 : 53,016.77 = 23,311.92 : x
  2. Step 2: Convert to fraction form
    38,415.41/53,016.77 = 23,311.92/x
  3. Step 3: Cross multiply
    38,415.41x = 53,016.77 × 23,311.92
  4. Step 4: Simplify right side
    38,415.41x = 1,235,922,594.21
  5. Step 5: Solve for x
    x = 1,235,922,594.21/38,415.41
  6. Step 6: Final answer
    x = 32,172.57

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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.