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Finding the Fourth Proportional to 51,538.42, 77,287.83 and 18,252.34

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Solution

The fourth proportional to 51,538.42, 77,287.83 and 18,252.34 is: 27,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538.42 : 77,287.83 = 18,252.34 : x
  2. Step 2: Convert to fraction form
    51,538.42/77,287.83 = 18,252.34/x
  3. Step 3: Cross multiply
    51,538.42x = 77,287.83 × 18,252.34
  4. Step 4: Simplify right side
    51,538.42x = 1,410,683,751.02
  5. Step 5: Solve for x
    x = 1,410,683,751.02/51,538.42
  6. Step 6: Final answer
    x = 27,371.50

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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.