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Finding the Fourth Proportional to 50,314.92, 69,431.18 and 27,653.40

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Solution

The fourth proportional to 50,314.92, 69,431.18 and 27,653.40 is: 38,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,314.92 : 69,431.18 = 27,653.40 : x
  2. Step 2: Convert to fraction form
    50,314.92/69,431.18 = 27,653.40/x
  3. Step 3: Cross multiply
    50,314.92x = 69,431.18 × 27,653.40
  4. Step 4: Simplify right side
    50,314.92x = 1,920,008,193.01
  5. Step 5: Solve for x
    x = 1,920,008,193.01/50,314.92
  6. Step 6: Final answer
    x = 38,159.82

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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.