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Finding the Fourth Proportional to 76,466.53, 114,664.15 and 29,090.44

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Solution

The fourth proportional to 76,466.53, 114,664.15 and 29,090.44 is: 43,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.53 : 114,664.15 = 29,090.44 : x
  2. Step 2: Convert to fraction form
    76,466.53/114,664.15 = 29,090.44/x
  3. Step 3: Cross multiply
    76,466.53x = 114,664.15 × 29,090.44
  4. Step 4: Simplify right side
    76,466.53x = 3,335,630,575.73
  5. Step 5: Solve for x
    x = 3,335,630,575.73/76,466.53
  6. Step 6: Final answer
    x = 43,622.10

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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.