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Finding the Fourth Proportional to 76,511.72, 114,776.31 and 20,354.12

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Solution

The fourth proportional to 76,511.72, 114,776.31 and 20,354.12 is: 30,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,511.72 : 114,776.31 = 20,354.12 : x
  2. Step 2: Convert to fraction form
    76,511.72/114,776.31 = 20,354.12/x
  3. Step 3: Cross multiply
    76,511.72x = 114,776.31 × 20,354.12
  4. Step 4: Simplify right side
    76,511.72x = 2,336,170,213.02
  5. Step 5: Solve for x
    x = 2,336,170,213.02/76,511.72
  6. Step 6: Final answer
    x = 30,533.50

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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.