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Finding the Fourth Proportional to 99,709.96, 149,563.02 and 25,836.04

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Solution

The fourth proportional to 99,709.96, 149,563.02 and 25,836.04 is: 38,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,709.96 : 149,563.02 = 25,836.04 : x
  2. Step 2: Convert to fraction form
    99,709.96/149,563.02 = 25,836.04/x
  3. Step 3: Cross multiply
    99,709.96x = 149,563.02 × 25,836.04
  4. Step 4: Simplify right side
    99,709.96x = 3,864,116,167.24
  5. Step 5: Solve for x
    x = 3,864,116,167.24/99,709.96
  6. Step 6: Final answer
    x = 38,753.56

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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.