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Finding the Fourth Proportional to 52,462.80, 78,701.40 and 19,174.80

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Solution

The fourth proportional to 52,462.80, 78,701.40 and 19,174.80 is: 28,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,462.80 : 78,701.40 = 19,174.80 : x
  2. Step 2: Convert to fraction form
    52,462.80/78,701.40 = 19,174.80/x
  3. Step 3: Cross multiply
    52,462.80x = 78,701.40 × 19,174.80
  4. Step 4: Simplify right side
    52,462.80x = 1,509,083,604.72
  5. Step 5: Solve for x
    x = 1,509,083,604.72/52,462.80
  6. Step 6: Final answer
    x = 28,764.83

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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.