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Finding the Fourth Proportional to 55,596.52, 76,732.14 and 31,724.20

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Solution

The fourth proportional to 55,596.52, 76,732.14 and 31,724.20 is: 43,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,596.52 : 76,732.14 = 31,724.20 : x
  2. Step 2: Convert to fraction form
    55,596.52/76,732.14 = 31,724.20/x
  3. Step 3: Cross multiply
    55,596.52x = 76,732.14 × 31,724.20
  4. Step 4: Simplify right side
    55,596.52x = 2,434,265,755.79
  5. Step 5: Solve for x
    x = 2,434,265,755.79/55,596.52
  6. Step 6: Final answer
    x = 43,784.50

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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.