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Finding the Fourth Proportional to 39,719, 54,812.60 and 21,814.38

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Solution

The fourth proportional to 39,719, 54,812.60 and 21,814.38 is: 30,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719 : 54,812.60 = 21,814.38 : x
  2. Step 2: Convert to fraction form
    39,719/54,812.60 = 21,814.38/x
  3. Step 3: Cross multiply
    39,719x = 54,812.60 × 21,814.38
  4. Step 4: Simplify right side
    39,719x = 1,195,702,885.19
  5. Step 5: Solve for x
    x = 1,195,702,885.19/39,719
  6. Step 6: Final answer
    x = 30,104.05

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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.