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Finding the Fourth Proportional to 29,181.54, 43,774.02 and 8,404.50

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Solution

The fourth proportional to 29,181.54, 43,774.02 and 8,404.50 is: 12,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,181.54 : 43,774.02 = 8,404.50 : x
  2. Step 2: Convert to fraction form
    29,181.54/43,774.02 = 8,404.50/x
  3. Step 3: Cross multiply
    29,181.54x = 43,774.02 × 8,404.50
  4. Step 4: Simplify right side
    29,181.54x = 367,898,751.09
  5. Step 5: Solve for x
    x = 367,898,751.09/29,181.54
  6. Step 6: Final answer
    x = 12,607.24

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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.