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Finding the Fourth Proportional to 49,677.66, 68,538.42 and 28,165.08

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Solution

The fourth proportional to 49,677.66, 68,538.42 and 28,165.08 is: 38,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,677.66 : 68,538.42 = 28,165.08 : x
  2. Step 2: Convert to fraction form
    49,677.66/68,538.42 = 28,165.08/x
  3. Step 3: Cross multiply
    49,677.66x = 68,538.42 × 28,165.08
  4. Step 4: Simplify right side
    49,677.66x = 1,930,390,082.37
  5. Step 5: Solve for x
    x = 1,930,390,082.37/49,677.66
  6. Step 6: Final answer
    x = 38,858.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.