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Finding the Fourth Proportional to 74,693.60, 112,083.60 and 27,951.20

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Solution

The fourth proportional to 74,693.60, 112,083.60 and 27,951.20 is: 41,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,693.60 : 112,083.60 = 27,951.20 : x
  2. Step 2: Convert to fraction form
    74,693.60/112,083.60 = 27,951.20/x
  3. Step 3: Cross multiply
    74,693.60x = 112,083.60 × 27,951.20
  4. Step 4: Simplify right side
    74,693.60x = 3,132,871,120.32
  5. Step 5: Solve for x
    x = 3,132,871,120.32/74,693.60
  6. Step 6: Final answer
    x = 41,942.97

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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.