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Finding the Fourth Proportional to 77,546.80, 116,320.20 and 51,281.20

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Solution

The fourth proportional to 77,546.80, 116,320.20 and 51,281.20 is: 76,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,546.80 : 116,320.20 = 51,281.20 : x
  2. Step 2: Convert to fraction form
    77,546.80/116,320.20 = 51,281.20/x
  3. Step 3: Cross multiply
    77,546.80x = 116,320.20 × 51,281.20
  4. Step 4: Simplify right side
    77,546.80x = 5,965,039,440.24
  5. Step 5: Solve for x
    x = 5,965,039,440.24/77,546.80
  6. Step 6: Final answer
    x = 76,921.80

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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.