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Finding the Fourth Proportional to 114,732.80, 172,099.20 and 30,492.80

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Solution

The fourth proportional to 114,732.80, 172,099.20 and 30,492.80 is: 45,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,732.80 : 172,099.20 = 30,492.80 : x
  2. Step 2: Convert to fraction form
    114,732.80/172,099.20 = 30,492.80/x
  3. Step 3: Cross multiply
    114,732.80x = 172,099.20 × 30,492.80
  4. Step 4: Simplify right side
    114,732.80x = 5,247,786,485.76
  5. Step 5: Solve for x
    x = 5,247,786,485.76/114,732.80
  6. Step 6: Final answer
    x = 45,739.20

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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.