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Finding the Fourth Proportional to 76,410.80, 114,616.20 and 53,082.80

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Solution

The fourth proportional to 76,410.80, 114,616.20 and 53,082.80 is: 79,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410.80 : 114,616.20 = 53,082.80 : x
  2. Step 2: Convert to fraction form
    76,410.80/114,616.20 = 53,082.80/x
  3. Step 3: Cross multiply
    76,410.80x = 114,616.20 × 53,082.80
  4. Step 4: Simplify right side
    76,410.80x = 6,084,148,821.36
  5. Step 5: Solve for x
    x = 6,084,148,821.36/76,410.80
  6. Step 6: Final answer
    x = 79,624.20

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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.