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Finding the Fourth Proportional to 52,046.54, 71,825.52 and 31,914.51

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Solution

The fourth proportional to 52,046.54, 71,825.52 and 31,914.51 is: 44,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.54 : 71,825.52 = 31,914.51 : x
  2. Step 2: Convert to fraction form
    52,046.54/71,825.52 = 31,914.51/x
  3. Step 3: Cross multiply
    52,046.54x = 71,825.52 × 31,914.51
  4. Step 4: Simplify right side
    52,046.54x = 2,292,276,276.30
  5. Step 5: Solve for x
    x = 2,292,276,276.30/52,046.54
  6. Step 6: Final answer
    x = 44,042.82

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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.