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Finding the Fourth Proportional to 39,715.75, 54,808.12 and 21,811.13

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Solution

The fourth proportional to 39,715.75, 54,808.12 and 21,811.13 is: 30,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,715.75 : 54,808.12 = 21,811.13 : x
  2. Step 2: Convert to fraction form
    39,715.75/54,808.12 = 21,811.13/x
  3. Step 3: Cross multiply
    39,715.75x = 54,808.12 × 21,811.13
  4. Step 4: Simplify right side
    39,715.75x = 1,195,427,030.38
  5. Step 5: Solve for x
    x = 1,195,427,030.38/39,715.75
  6. Step 6: Final answer
    x = 30,099.57

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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.