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Finding the Fourth Proportional to 19,489.05, 29,233.64 and 5,448.99

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Solution

The fourth proportional to 19,489.05, 29,233.64 and 5,448.99 is: 8,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.05 : 29,233.64 = 5,448.99 : x
  2. Step 2: Convert to fraction form
    19,489.05/29,233.64 = 5,448.99/x
  3. Step 3: Cross multiply
    19,489.05x = 29,233.64 × 5,448.99
  4. Step 4: Simplify right side
    19,489.05x = 159,293,812.02
  5. Step 5: Solve for x
    x = 159,293,812.02/19,489.05
  6. Step 6: Final answer
    x = 8,173.50

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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.