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Finding the Fourth Proportional to 29,814.24, 44,727.03 and 10,087.50

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Solution

The fourth proportional to 29,814.24, 44,727.03 and 10,087.50 is: 15,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.24 : 44,727.03 = 10,087.50 : x
  2. Step 2: Convert to fraction form
    29,814.24/44,727.03 = 10,087.50/x
  3. Step 3: Cross multiply
    29,814.24x = 44,727.03 × 10,087.50
  4. Step 4: Simplify right side
    29,814.24x = 451,183,915.13
  5. Step 5: Solve for x
    x = 451,183,915.13/29,814.24
  6. Step 6: Final answer
    x = 15,133.17

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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.