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Finding the Fourth Proportional to 29,833.50, 44,750.52 and 9,057

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Solution

The fourth proportional to 29,833.50, 44,750.52 and 9,057 is: 13,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.50 : 44,750.52 = 9,057 : x
  2. Step 2: Convert to fraction form
    29,833.50/44,750.52 = 9,057/x
  3. Step 3: Cross multiply
    29,833.50x = 44,750.52 × 9,057
  4. Step 4: Simplify right side
    29,833.50x = 405,305,459.64
  5. Step 5: Solve for x
    x = 405,305,459.64/29,833.50
  6. Step 6: Final answer
    x = 13,585.58

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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.