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Finding the Fourth Proportional to 19,633.50, 29,455.92 and 5,782.50

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Solution

The fourth proportional to 19,633.50, 29,455.92 and 5,782.50 is: 8,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.50 : 29,455.92 = 5,782.50 : x
  2. Step 2: Convert to fraction form
    19,633.50/29,455.92 = 5,782.50/x
  3. Step 3: Cross multiply
    19,633.50x = 29,455.92 × 5,782.50
  4. Step 4: Simplify right side
    19,633.50x = 170,328,857.40
  5. Step 5: Solve for x
    x = 170,328,857.40/19,633.50
  6. Step 6: Final answer
    x = 8,675.42

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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.