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Finding the Fourth Proportional to 30,673.38, 42,318.25 and 20,069.17

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Solution

The fourth proportional to 30,673.38, 42,318.25 and 20,069.17 is: 27,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.38 : 42,318.25 = 20,069.17 : x
  2. Step 2: Convert to fraction form
    30,673.38/42,318.25 = 20,069.17/x
  3. Step 3: Cross multiply
    30,673.38x = 42,318.25 × 20,069.17
  4. Step 4: Simplify right side
    30,673.38x = 849,291,997.38
  5. Step 5: Solve for x
    x = 849,291,997.38/30,673.38
  6. Step 6: Final answer
    x = 27,688.24

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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.