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Finding the Fourth Proportional to 78,020.70, 117,223.62 and 49,952.98

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Solution

The fourth proportional to 78,020.70, 117,223.62 and 49,952.98 is: 75,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,020.70 : 117,223.62 = 49,952.98 : x
  2. Step 2: Convert to fraction form
    78,020.70/117,223.62 = 49,952.98/x
  3. Step 3: Cross multiply
    78,020.70x = 117,223.62 × 49,952.98
  4. Step 4: Simplify right side
    78,020.70x = 5,855,669,145.39
  5. Step 5: Solve for x
    x = 5,855,669,145.39/78,020.70
  6. Step 6: Final answer
    x = 75,052.76

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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.