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Finding the Fourth Proportional to 54,311.50, 81,463.60 and 14,868.96

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Solution

The fourth proportional to 54,311.50, 81,463.60 and 14,868.96 is: 22,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,311.50 : 81,463.60 = 14,868.96 : x
  2. Step 2: Convert to fraction form
    54,311.50/81,463.60 = 14,868.96/x
  3. Step 3: Cross multiply
    54,311.50x = 81,463.60 × 14,868.96
  4. Step 4: Simplify right side
    54,311.50x = 1,211,279,009.86
  5. Step 5: Solve for x
    x = 1,211,279,009.86/54,311.50
  6. Step 6: Final answer
    x = 22,302.44

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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.