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Finding the Fourth Proportional to 49,753.44, 74,602.08 and 18,576

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Solution

The fourth proportional to 49,753.44, 74,602.08 and 18,576 is: 27,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,753.44 : 74,602.08 = 18,576 : x
  2. Step 2: Convert to fraction form
    49,753.44/74,602.08 = 18,576/x
  3. Step 3: Cross multiply
    49,753.44x = 74,602.08 × 18,576
  4. Step 4: Simplify right side
    49,753.44x = 1,385,808,238.08
  5. Step 5: Solve for x
    x = 1,385,808,238.08/49,753.44
  6. Step 6: Final answer
    x = 27,853.52

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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.