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Finding the Fourth Proportional to 50,428.48, 69,590.37 and 27,766.98

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Solution

The fourth proportional to 50,428.48, 69,590.37 and 27,766.98 is: 38,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,428.48 : 69,590.37 = 27,766.98 : x
  2. Step 2: Convert to fraction form
    50,428.48/69,590.37 = 27,766.98/x
  3. Step 3: Cross multiply
    50,428.48x = 69,590.37 × 27,766.98
  4. Step 4: Simplify right side
    50,428.48x = 1,932,314,411.98
  5. Step 5: Solve for x
    x = 1,932,314,411.98/50,428.48
  6. Step 6: Final answer
    x = 38,317.92

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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.