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Finding the Fourth Proportional to 71,092.72, 106,704.68 and 36,056.98

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Solution

The fourth proportional to 71,092.72, 106,704.68 and 36,056.98 is: 54,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,092.72 : 106,704.68 = 36,056.98 : x
  2. Step 2: Convert to fraction form
    71,092.72/106,704.68 = 36,056.98/x
  3. Step 3: Cross multiply
    71,092.72x = 106,704.68 × 36,056.98
  4. Step 4: Simplify right side
    71,092.72x = 3,847,448,512.67
  5. Step 5: Solve for x
    x = 3,847,448,512.67/71,092.72
  6. Step 6: Final answer
    x = 54,118.74

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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.