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Finding the Fourth Proportional to 52,804.76, 72,879.89 and 31,583.97

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Solution

The fourth proportional to 52,804.76, 72,879.89 and 31,583.97 is: 43,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,804.76 : 72,879.89 = 31,583.97 : x
  2. Step 2: Convert to fraction form
    52,804.76/72,879.89 = 31,583.97/x
  3. Step 3: Cross multiply
    52,804.76x = 72,879.89 × 31,583.97
  4. Step 4: Simplify right side
    52,804.76x = 2,301,836,101.44
  5. Step 5: Solve for x
    x = 2,301,836,101.44/52,804.76
  6. Step 6: Final answer
    x = 43,591.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.