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Finding the Fourth Proportional to 72,989.53, 109,474.85 and 23,074.66

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Solution

The fourth proportional to 72,989.53, 109,474.85 and 23,074.66 is: 34,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,989.53 : 109,474.85 = 23,074.66 : x
  2. Step 2: Convert to fraction form
    72,989.53/109,474.85 = 23,074.66/x
  3. Step 3: Cross multiply
    72,989.53x = 109,474.85 × 23,074.66
  4. Step 4: Simplify right side
    72,989.53x = 2,526,094,942.30
  5. Step 5: Solve for x
    x = 2,526,094,942.30/72,989.53
  6. Step 6: Final answer
    x = 34,609.00

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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.