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Finding the Fourth Proportional to 30,239.38, 41,715.81 and 19,632.34

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Solution

The fourth proportional to 30,239.38, 41,715.81 and 19,632.34 is: 27,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,239.38 : 41,715.81 = 19,632.34 : x
  2. Step 2: Convert to fraction form
    30,239.38/41,715.81 = 19,632.34/x
  3. Step 3: Cross multiply
    30,239.38x = 41,715.81 × 19,632.34
  4. Step 4: Simplify right side
    30,239.38x = 818,978,965.30
  5. Step 5: Solve for x
    x = 818,978,965.30/30,239.38
  6. Step 6: Final answer
    x = 27,083.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.