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Finding the Fourth Proportional to 49,223.80, 73,835.70 and 34,478.20

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Solution

The fourth proportional to 49,223.80, 73,835.70 and 34,478.20 is: 51,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,223.80 : 73,835.70 = 34,478.20 : x
  2. Step 2: Convert to fraction form
    49,223.80/73,835.70 = 34,478.20/x
  3. Step 3: Cross multiply
    49,223.80x = 73,835.70 × 34,478.20
  4. Step 4: Simplify right side
    49,223.80x = 2,545,722,031.74
  5. Step 5: Solve for x
    x = 2,545,722,031.74/49,223.80
  6. Step 6: Final answer
    x = 51,717.30

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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.