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Finding the Fourth Proportional to 54,871.86, 82,311.63 and 23,278.32

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Solution

The fourth proportional to 54,871.86, 82,311.63 and 23,278.32 is: 34,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.86 : 82,311.63 = 23,278.32 : x
  2. Step 2: Convert to fraction form
    54,871.86/82,311.63 = 23,278.32/x
  3. Step 3: Cross multiply
    54,871.86x = 82,311.63 × 23,278.32
  4. Step 4: Simplify right side
    54,871.86x = 1,916,076,462.86
  5. Step 5: Solve for x
    x = 1,916,076,462.86/54,871.86
  6. Step 6: Final answer
    x = 34,919.11

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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.