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Finding the Fourth Proportional to 38,296.50, 57,444.39 and 20,877

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Solution

The fourth proportional to 38,296.50, 57,444.39 and 20,877 is: 31,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.50 : 57,444.39 = 20,877 : x
  2. Step 2: Convert to fraction form
    38,296.50/57,444.39 = 20,877/x
  3. Step 3: Cross multiply
    38,296.50x = 57,444.39 × 20,877
  4. Step 4: Simplify right side
    38,296.50x = 1,199,266,530.03
  5. Step 5: Solve for x
    x = 1,199,266,530.03/38,296.50
  6. Step 6: Final answer
    x = 31,315.30

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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.