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Finding the Fourth Proportional to 49,223.80, 73,835.70 and 42,311.80

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Solution

The fourth proportional to 49,223.80, 73,835.70 and 42,311.80 is: 63,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,223.80 : 73,835.70 = 42,311.80 : x
  2. Step 2: Convert to fraction form
    49,223.80/73,835.70 = 42,311.80/x
  3. Step 3: Cross multiply
    49,223.80x = 73,835.70 × 42,311.80
  4. Step 4: Simplify right side
    49,223.80x = 3,124,121,371.26
  5. Step 5: Solve for x
    x = 3,124,121,371.26/49,223.80
  6. Step 6: Final answer
    x = 63,467.70

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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.