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Finding the Fourth Proportional to 55,335.69, 82,940.85 and 48,659.31

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Solution

The fourth proportional to 55,335.69, 82,940.85 and 48,659.31 is: 72,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,335.69 : 82,940.85 = 48,659.31 : x
  2. Step 2: Convert to fraction form
    55,335.69/82,940.85 = 48,659.31/x
  3. Step 3: Cross multiply
    55,335.69x = 82,940.85 × 48,659.31
  4. Step 4: Simplify right side
    55,335.69x = 4,035,844,531.81
  5. Step 5: Solve for x
    x = 4,035,844,531.81/55,335.69
  6. Step 6: Final answer
    x = 72,933.84

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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.