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Finding the Fourth Proportional to 72,827.92, 109,257.50 and 41,252.92

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Solution

The fourth proportional to 72,827.92, 109,257.50 and 41,252.92 is: 61,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,827.92 : 109,257.50 = 41,252.92 : x
  2. Step 2: Convert to fraction form
    72,827.92/109,257.50 = 41,252.92/x
  3. Step 3: Cross multiply
    72,827.92x = 109,257.50 × 41,252.92
  4. Step 4: Simplify right side
    72,827.92x = 4,507,190,906.90
  5. Step 5: Solve for x
    x = 4,507,190,906.90/72,827.92
  6. Step 6: Final answer
    x = 61,888.23

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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.