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Finding the Fourth Proportional to 72,283.92, 108,342.72 and 27,891.06

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Solution

The fourth proportional to 72,283.92, 108,342.72 and 27,891.06 is: 41,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,283.92 : 108,342.72 = 27,891.06 : x
  2. Step 2: Convert to fraction form
    72,283.92/108,342.72 = 27,891.06/x
  3. Step 3: Cross multiply
    72,283.92x = 108,342.72 × 27,891.06
  4. Step 4: Simplify right side
    72,283.92x = 3,021,793,304.08
  5. Step 5: Solve for x
    x = 3,021,793,304.08/72,283.92
  6. Step 6: Final answer
    x = 41,804.50

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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.