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Finding the Fourth Proportional to 51,562.50, 71,102.28 and 38,161.86

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Solution

The fourth proportional to 51,562.50, 71,102.28 and 38,161.86 is: 52,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,562.50 : 71,102.28 = 38,161.86 : x
  2. Step 2: Convert to fraction form
    51,562.50/71,102.28 = 38,161.86/x
  3. Step 3: Cross multiply
    51,562.50x = 71,102.28 × 38,161.86
  4. Step 4: Simplify right side
    51,562.50x = 2,713,395,255.04
  5. Step 5: Solve for x
    x = 2,713,395,255.04/51,562.50
  6. Step 6: Final answer
    x = 52,623.42

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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.