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Finding the Fourth Proportional to 53,337.78, 79,918.38 and 47,843.46

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Solution

The fourth proportional to 53,337.78, 79,918.38 and 47,843.46 is: 71,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,337.78 : 79,918.38 = 47,843.46 : x
  2. Step 2: Convert to fraction form
    53,337.78/79,918.38 = 47,843.46/x
  3. Step 3: Cross multiply
    53,337.78x = 79,918.38 × 47,843.46
  4. Step 4: Simplify right side
    53,337.78x = 3,823,571,816.79
  5. Step 5: Solve for x
    x = 3,823,571,816.79/53,337.78
  6. Step 6: Final answer
    x = 71,685.99

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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.