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Finding the Fourth Proportional to 29,832.56, 44,749.84 and 9,056

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Solution

The fourth proportional to 29,832.56, 44,749.84 and 9,056 is: 13,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.56 : 44,749.84 = 9,056 : x
  2. Step 2: Convert to fraction form
    29,832.56/44,749.84 = 9,056/x
  3. Step 3: Cross multiply
    29,832.56x = 44,749.84 × 9,056
  4. Step 4: Simplify right side
    29,832.56x = 405,254,551.04
  5. Step 5: Solve for x
    x = 405,254,551.04/29,832.56
  6. Step 6: Final answer
    x = 13,584.30

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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.