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Finding the Fourth Proportional to 72,991.16, 109,477.28 and 23,076.28

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Solution

The fourth proportional to 72,991.16, 109,477.28 and 23,076.28 is: 34,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991.16 : 109,477.28 = 23,076.28 : x
  2. Step 2: Convert to fraction form
    72,991.16/109,477.28 = 23,076.28/x
  3. Step 3: Cross multiply
    72,991.16x = 109,477.28 × 23,076.28
  4. Step 4: Simplify right side
    72,991.16x = 2,526,328,366.92
  5. Step 5: Solve for x
    x = 2,526,328,366.92/72,991.16
  6. Step 6: Final answer
    x = 34,611.43

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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.