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Finding the Fourth Proportional to 68,782.72, 103,192.08 and 23,813.44

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Solution

The fourth proportional to 68,782.72, 103,192.08 and 23,813.44 is: 35,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,782.72 : 103,192.08 = 23,813.44 : x
  2. Step 2: Convert to fraction form
    68,782.72/103,192.08 = 23,813.44/x
  3. Step 3: Cross multiply
    68,782.72x = 103,192.08 × 23,813.44
  4. Step 4: Simplify right side
    68,782.72x = 2,457,358,638.73
  5. Step 5: Solve for x
    x = 2,457,358,638.73/68,782.72
  6. Step 6: Final answer
    x = 35,726.40

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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.