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Finding the Fourth Proportional to 82,604.80, 123,868.50 and 48,420.98

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Solution

The fourth proportional to 82,604.80, 123,868.50 and 48,420.98 is: 72,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,604.80 : 123,868.50 = 48,420.98 : x
  2. Step 2: Convert to fraction form
    82,604.80/123,868.50 = 48,420.98/x
  3. Step 3: Cross multiply
    82,604.80x = 123,868.50 × 48,420.98
  4. Step 4: Simplify right side
    82,604.80x = 5,997,834,161.13
  5. Step 5: Solve for x
    x = 5,997,834,161.13/82,604.80
  6. Step 6: Final answer
    x = 72,608.78

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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.