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Finding the Fourth Proportional to 76,354.97, 114,566.47 and 29,611.49

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Solution

The fourth proportional to 76,354.97, 114,566.47 and 29,611.49 is: 44,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.97 : 114,566.47 = 29,611.49 : x
  2. Step 2: Convert to fraction form
    76,354.97/114,566.47 = 29,611.49/x
  3. Step 3: Cross multiply
    76,354.97x = 114,566.47 × 29,611.49
  4. Step 4: Simplify right side
    76,354.97x = 3,392,483,233.88
  5. Step 5: Solve for x
    x = 3,392,483,233.88/76,354.97
  6. Step 6: Final answer
    x = 44,430.42

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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.