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Finding the Fourth Proportional to 77,383.84, 116,070.94 and 27,457.38

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Solution

The fourth proportional to 77,383.84, 116,070.94 and 27,457.38 is: 41,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,383.84 : 116,070.94 = 27,457.38 : x
  2. Step 2: Convert to fraction form
    77,383.84/116,070.94 = 27,457.38/x
  3. Step 3: Cross multiply
    77,383.84x = 116,070.94 × 27,457.38
  4. Step 4: Simplify right side
    77,383.84x = 3,187,003,906.54
  5. Step 5: Solve for x
    x = 3,187,003,906.54/77,383.84
  6. Step 6: Final answer
    x = 41,184.36

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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.