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Finding the Fourth Proportional to 72,894.87, 109,357.16 and 27,913.05

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Solution

The fourth proportional to 72,894.87, 109,357.16 and 27,913.05 is: 41,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,894.87 : 109,357.16 = 27,913.05 : x
  2. Step 2: Convert to fraction form
    72,894.87/109,357.16 = 27,913.05/x
  3. Step 3: Cross multiply
    72,894.87x = 109,357.16 × 27,913.05
  4. Step 4: Simplify right side
    72,894.87x = 3,052,491,735.37
  5. Step 5: Solve for x
    x = 3,052,491,735.37/72,894.87
  6. Step 6: Final answer
    x = 41,875.26

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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.