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Finding the Fourth Proportional to 72,763.47, 109,145.13 and 22,847.46

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Solution

The fourth proportional to 72,763.47, 109,145.13 and 22,847.46 is: 34,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,763.47 : 109,145.13 = 22,847.46 : x
  2. Step 2: Convert to fraction form
    72,763.47/109,145.13 = 22,847.46/x
  3. Step 3: Cross multiply
    72,763.47x = 109,145.13 × 22,847.46
  4. Step 4: Simplify right side
    72,763.47x = 2,493,688,991.87
  5. Step 5: Solve for x
    x = 2,493,688,991.87/72,763.47
  6. Step 6: Final answer
    x = 34,271.17

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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.