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Finding the Fourth Proportional to 76,487.62, 114,714.10 and 29,085.82

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Solution

The fourth proportional to 76,487.62, 114,714.10 and 29,085.82 is: 43,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.62 : 114,714.10 = 29,085.82 : x
  2. Step 2: Convert to fraction form
    76,487.62/114,714.10 = 29,085.82/x
  3. Step 3: Cross multiply
    76,487.62x = 114,714.10 × 29,085.82
  4. Step 4: Simplify right side
    76,487.62x = 3,336,553,664.06
  5. Step 5: Solve for x
    x = 3,336,553,664.06/76,487.62
  6. Step 6: Final answer
    x = 43,622.14

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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.