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Finding the Fourth Proportional to 72,324.60, 108,503.10 and 27,947.40

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Solution

The fourth proportional to 72,324.60, 108,503.10 and 27,947.40 is: 41,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,324.60 : 108,503.10 = 27,947.40 : x
  2. Step 2: Convert to fraction form
    72,324.60/108,503.10 = 27,947.40/x
  3. Step 3: Cross multiply
    72,324.60x = 108,503.10 × 27,947.40
  4. Step 4: Simplify right side
    72,324.60x = 3,032,379,536.94
  5. Step 5: Solve for x
    x = 3,032,379,536.94/72,324.60
  6. Step 6: Final answer
    x = 41,927.36

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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.