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Finding the Fourth Proportional to 53,876.58, 80,787.84 and 31,394.52

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Solution

The fourth proportional to 53,876.58, 80,787.84 and 31,394.52 is: 47,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,876.58 : 80,787.84 = 31,394.52 : x
  2. Step 2: Convert to fraction form
    53,876.58/80,787.84 = 31,394.52/x
  3. Step 3: Cross multiply
    53,876.58x = 80,787.84 × 31,394.52
  4. Step 4: Simplify right side
    53,876.58x = 2,536,295,458.64
  5. Step 5: Solve for x
    x = 2,536,295,458.64/53,876.58
  6. Step 6: Final answer
    x = 47,076.03

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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.