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Finding the Fourth Proportional to 55,209.70, 82,814.55 and 49,219.30

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Solution

The fourth proportional to 55,209.70, 82,814.55 and 49,219.30 is: 73,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,209.70 : 82,814.55 = 49,219.30 : x
  2. Step 2: Convert to fraction form
    55,209.70/82,814.55 = 49,219.30/x
  3. Step 3: Cross multiply
    55,209.70x = 82,814.55 × 49,219.30
  4. Step 4: Simplify right side
    55,209.70x = 4,076,074,180.82
  5. Step 5: Solve for x
    x = 4,076,074,180.82/55,209.70
  6. Step 6: Final answer
    x = 73,828.95

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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.