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Finding the Fourth Proportional to 76,410.50, 114,603.17 and 20,254.10

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Solution

The fourth proportional to 76,410.50, 114,603.17 and 20,254.10 is: 30,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410.50 : 114,603.17 = 20,254.10 : x
  2. Step 2: Convert to fraction form
    76,410.50/114,603.17 = 20,254.10/x
  3. Step 3: Cross multiply
    76,410.50x = 114,603.17 × 20,254.10
  4. Step 4: Simplify right side
    76,410.50x = 2,321,183,391.21
  5. Step 5: Solve for x
    x = 2,321,183,391.21/76,410.50
  6. Step 6: Final answer
    x = 30,377.81

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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.