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Finding the Fourth Proportional to 53,852.96, 80,852.52 and 37,172

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Solution

The fourth proportional to 53,852.96, 80,852.52 and 37,172 is: 55,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852.96 : 80,852.52 = 37,172 : x
  2. Step 2: Convert to fraction form
    53,852.96/80,852.52 = 37,172/x
  3. Step 3: Cross multiply
    53,852.96x = 80,852.52 × 37,172
  4. Step 4: Simplify right side
    53,852.96x = 3,005,449,873.44
  5. Step 5: Solve for x
    x = 3,005,449,873.44/53,852.96
  6. Step 6: Final answer
    x = 55,808.44

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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.