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Finding the Fourth Proportional to 72,983.57, 109,474.69 and 23,063.67

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Solution

The fourth proportional to 72,983.57, 109,474.69 and 23,063.67 is: 34,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,983.57 : 109,474.69 = 23,063.67 : x
  2. Step 2: Convert to fraction form
    72,983.57/109,474.69 = 23,063.67/x
  3. Step 3: Cross multiply
    72,983.57x = 109,474.69 × 23,063.67
  4. Step 4: Simplify right side
    72,983.57x = 2,524,888,008.19
  5. Step 5: Solve for x
    x = 2,524,888,008.19/72,983.57
  6. Step 6: Final answer
    x = 34,595.30

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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.