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Finding the Fourth Proportional to 76,227.84, 114,333.24 and 20,073.24

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Solution

The fourth proportional to 76,227.84, 114,333.24 and 20,073.24 is: 30,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,227.84 : 114,333.24 = 20,073.24 : x
  2. Step 2: Convert to fraction form
    76,227.84/114,333.24 = 20,073.24/x
  3. Step 3: Cross multiply
    76,227.84x = 114,333.24 × 20,073.24
  4. Step 4: Simplify right side
    76,227.84x = 2,295,038,566.50
  5. Step 5: Solve for x
    x = 2,295,038,566.50/76,227.84
  6. Step 6: Final answer
    x = 30,107.62

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1.5x scale

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.