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Finding the Fourth Proportional to 30,225.99, 41,709.02 and 27,996.87

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Solution

The fourth proportional to 30,225.99, 41,709.02 and 27,996.87 is: 38,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.99 : 41,709.02 = 27,996.87 : x
  2. Step 2: Convert to fraction form
    30,225.99/41,709.02 = 27,996.87/x
  3. Step 3: Cross multiply
    30,225.99x = 41,709.02 × 27,996.87
  4. Step 4: Simplify right side
    30,225.99x = 1,167,721,870.78
  5. Step 5: Solve for x
    x = 1,167,721,870.78/30,225.99
  6. Step 6: Final answer
    x = 38,633.04

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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.