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Finding the Fourth Proportional to 74,662.83, 112,004.78 and 27,911.25

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Solution

The fourth proportional to 74,662.83, 112,004.78 and 27,911.25 is: 41,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,662.83 : 112,004.78 = 27,911.25 : x
  2. Step 2: Convert to fraction form
    74,662.83/112,004.78 = 27,911.25/x
  3. Step 3: Cross multiply
    74,662.83x = 112,004.78 × 27,911.25
  4. Step 4: Simplify right side
    74,662.83x = 3,126,193,276.22
  5. Step 5: Solve for x
    x = 3,126,193,276.22/74,662.83
  6. Step 6: Final answer
    x = 41,870.81

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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.