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Finding the Fourth Proportional to 76,981.80, 115,472.70 and 50,716.20

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Solution

The fourth proportional to 76,981.80, 115,472.70 and 50,716.20 is: 76,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,981.80 : 115,472.70 = 50,716.20 : x
  2. Step 2: Convert to fraction form
    76,981.80/115,472.70 = 50,716.20/x
  3. Step 3: Cross multiply
    76,981.80x = 115,472.70 × 50,716.20
  4. Step 4: Simplify right side
    76,981.80x = 5,856,336,547.74
  5. Step 5: Solve for x
    x = 5,856,336,547.74/76,981.80
  6. Step 6: Final answer
    x = 76,074.30

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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.