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Finding the Fourth Proportional to 52,203.29, 78,304.84 and 18,923.27

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Solution

The fourth proportional to 52,203.29, 78,304.84 and 18,923.27 is: 28,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,203.29 : 78,304.84 = 18,923.27 : x
  2. Step 2: Convert to fraction form
    52,203.29/78,304.84 = 18,923.27/x
  3. Step 3: Cross multiply
    52,203.29x = 78,304.84 × 18,923.27
  4. Step 4: Simplify right side
    52,203.29x = 1,481,783,190.79
  5. Step 5: Solve for x
    x = 1,481,783,190.79/52,203.29
  6. Step 6: Final answer
    x = 28,384.86

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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.