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Finding the Fourth Proportional to 29,876.04, 44,814 and 7,687.56

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Solution

The fourth proportional to 29,876.04, 44,814 and 7,687.56 is: 11,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,876.04 : 44,814 = 7,687.56 : x
  2. Step 2: Convert to fraction form
    29,876.04/44,814 = 7,687.56/x
  3. Step 3: Cross multiply
    29,876.04x = 44,814 × 7,687.56
  4. Step 4: Simplify right side
    29,876.04x = 344,510,313.84
  5. Step 5: Solve for x
    x = 344,510,313.84/29,876.04
  6. Step 6: Final answer
    x = 11,531.32

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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.