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Finding the Fourth Proportional to 49,271, 73,897.28 and 15,991.36

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Solution

The fourth proportional to 49,271, 73,897.28 and 15,991.36 is: 23,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271 : 73,897.28 = 15,991.36 : x
  2. Step 2: Convert to fraction form
    49,271/73,897.28 = 15,991.36/x
  3. Step 3: Cross multiply
    49,271x = 73,897.28 × 15,991.36
  4. Step 4: Simplify right side
    49,271x = 1,181,718,007.50
  5. Step 5: Solve for x
    x = 1,181,718,007.50/49,271
  6. Step 6: Final answer
    x = 23,984.05

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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.