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Finding the Fourth Proportional to 27,813, 41,715.84 and 10,041.84

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Solution

The fourth proportional to 27,813, 41,715.84 and 10,041.84 is: 15,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813 : 41,715.84 = 10,041.84 : x
  2. Step 2: Convert to fraction form
    27,813/41,715.84 = 10,041.84/x
  3. Step 3: Cross multiply
    27,813x = 41,715.84 × 10,041.84
  4. Step 4: Simplify right side
    27,813x = 418,903,790.75
  5. Step 5: Solve for x
    x = 418,903,790.75/27,813
  6. Step 6: Final answer
    x = 15,061.44

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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.