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Finding the Fourth Proportional to 53,271.04, 79,843.02 and 24,769.48

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Solution

The fourth proportional to 53,271.04, 79,843.02 and 24,769.48 is: 37,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,271.04 : 79,843.02 = 24,769.48 : x
  2. Step 2: Convert to fraction form
    53,271.04/79,843.02 = 24,769.48/x
  3. Step 3: Cross multiply
    53,271.04x = 79,843.02 × 24,769.48
  4. Step 4: Simplify right side
    53,271.04x = 1,977,670,087.03
  5. Step 5: Solve for x
    x = 1,977,670,087.03/53,271.04
  6. Step 6: Final answer
    x = 37,124.68

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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.