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Finding the Fourth Proportional to 72,254.66, 108,409.32 and 27,884.07

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Solution

The fourth proportional to 72,254.66, 108,409.32 and 27,884.07 is: 41,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,254.66 : 108,409.32 = 27,884.07 : x
  2. Step 2: Convert to fraction form
    72,254.66/108,409.32 = 27,884.07/x
  3. Step 3: Cross multiply
    72,254.66x = 108,409.32 × 27,884.07
  4. Step 4: Simplify right side
    72,254.66x = 3,022,893,067.53
  5. Step 5: Solve for x
    x = 3,022,893,067.53/72,254.66
  6. Step 6: Final answer
    x = 41,836.65

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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.