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Finding the Fourth Proportional to 71,813.96, 99,107.20 and 39,982.16

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Solution

The fourth proportional to 71,813.96, 99,107.20 and 39,982.16 is: 55,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,813.96 : 99,107.20 = 39,982.16 : x
  2. Step 2: Convert to fraction form
    71,813.96/99,107.20 = 39,982.16/x
  3. Step 3: Cross multiply
    71,813.96x = 99,107.20 × 39,982.16
  4. Step 4: Simplify right side
    71,813.96x = 3,962,519,927.55
  5. Step 5: Solve for x
    x = 3,962,519,927.55/71,813.96
  6. Step 6: Final answer
    x = 55,177.57

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1.5x scale

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.