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Finding the Fourth Proportional to 76,335.66, 114,404.94 and 34,184.88

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Solution

The fourth proportional to 76,335.66, 114,404.94 and 34,184.88 is: 51,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,335.66 : 114,404.94 = 34,184.88 : x
  2. Step 2: Convert to fraction form
    76,335.66/114,404.94 = 34,184.88/x
  3. Step 3: Cross multiply
    76,335.66x = 114,404.94 × 34,184.88
  4. Step 4: Simplify right side
    76,335.66x = 3,910,919,145.31
  5. Step 5: Solve for x
    x = 3,910,919,145.31/76,335.66
  6. Step 6: Final answer
    x = 51,233.19

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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.