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Finding the Fourth Proportional to 29,842.56, 44,764.84 and 9,066

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Solution

The fourth proportional to 29,842.56, 44,764.84 and 9,066 is: 13,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.56 : 44,764.84 = 9,066 : x
  2. Step 2: Convert to fraction form
    29,842.56/44,764.84 = 9,066/x
  3. Step 3: Cross multiply
    29,842.56x = 44,764.84 × 9,066
  4. Step 4: Simplify right side
    29,842.56x = 405,838,039.44
  5. Step 5: Solve for x
    x = 405,838,039.44/29,842.56
  6. Step 6: Final answer
    x = 13,599.30

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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.