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Finding the Fourth Proportional to 76,806.22, 115,192.02 and 27,558.22

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Solution

The fourth proportional to 76,806.22, 115,192.02 and 27,558.22 is: 41,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806.22 : 115,192.02 = 27,558.22 : x
  2. Step 2: Convert to fraction form
    76,806.22/115,192.02 = 27,558.22/x
  3. Step 3: Cross multiply
    76,806.22x = 115,192.02 × 27,558.22
  4. Step 4: Simplify right side
    76,806.22x = 3,174,487,029.40
  5. Step 5: Solve for x
    x = 3,174,487,029.40/76,806.22
  6. Step 6: Final answer
    x = 41,331.12

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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.