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Finding the Fourth Proportional to 53,209.92, 79,660.44 and 30,955.44

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Solution

The fourth proportional to 53,209.92, 79,660.44 and 30,955.44 is: 46,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,209.92 : 79,660.44 = 30,955.44 : x
  2. Step 2: Convert to fraction form
    53,209.92/79,660.44 = 30,955.44/x
  3. Step 3: Cross multiply
    53,209.92x = 79,660.44 × 30,955.44
  4. Step 4: Simplify right side
    53,209.92x = 2,465,923,970.79
  5. Step 5: Solve for x
    x = 2,465,923,970.79/53,209.92
  6. Step 6: Final answer
    x = 46,343.31

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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.