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Finding the Fourth Proportional to 74,736.96, 112,083.52 and 27,978.88

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Solution

The fourth proportional to 74,736.96, 112,083.52 and 27,978.88 is: 41,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,736.96 : 112,083.52 = 27,978.88 : x
  2. Step 2: Convert to fraction form
    74,736.96/112,083.52 = 27,978.88/x
  3. Step 3: Cross multiply
    74,736.96x = 112,083.52 × 27,978.88
  4. Step 4: Simplify right side
    74,736.96x = 3,135,971,356.06
  5. Step 5: Solve for x
    x = 3,135,971,356.06/74,736.96
  6. Step 6: Final answer
    x = 41,960.11

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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.