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Finding the Fourth Proportional to 51,580.80, 77,380.98 and 36,752.94

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Solution

The fourth proportional to 51,580.80, 77,380.98 and 36,752.94 is: 55,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,580.80 : 77,380.98 = 36,752.94 : x
  2. Step 2: Convert to fraction form
    51,580.80/77,380.98 = 36,752.94/x
  3. Step 3: Cross multiply
    51,580.80x = 77,380.98 × 36,752.94
  4. Step 4: Simplify right side
    51,580.80x = 2,843,978,515.08
  5. Step 5: Solve for x
    x = 2,843,978,515.08/51,580.80
  6. Step 6: Final answer
    x = 55,136.38

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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.