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Finding the Fourth Proportional to 29,872.56, 44,816.13 and 9,096.06

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Solution

The fourth proportional to 29,872.56, 44,816.13 and 9,096.06 is: 13,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.56 : 44,816.13 = 9,096.06 : x
  2. Step 2: Convert to fraction form
    29,872.56/44,816.13 = 9,096.06/x
  3. Step 3: Cross multiply
    29,872.56x = 44,816.13 × 9,096.06
  4. Step 4: Simplify right side
    29,872.56x = 407,650,207.45
  5. Step 5: Solve for x
    x = 407,650,207.45/29,872.56
  6. Step 6: Final answer
    x = 13,646.31

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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.