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Finding the Fourth Proportional to 53,972.84, 81,033.82 and 37,293.80

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Solution

The fourth proportional to 53,972.84, 81,033.82 and 37,293.80 is: 55,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,972.84 : 81,033.82 = 37,293.80 : x
  2. Step 2: Convert to fraction form
    53,972.84/81,033.82 = 37,293.80/x
  3. Step 3: Cross multiply
    53,972.84x = 81,033.82 × 37,293.80
  4. Step 4: Simplify right side
    53,972.84x = 3,022,059,076.32
  5. Step 5: Solve for x
    x = 3,022,059,076.32/53,972.84
  6. Step 6: Final answer
    x = 55,992.22

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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.