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Finding the Fourth Proportional to 50,686.08, 69,947 and 27,716.38

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Solution

The fourth proportional to 50,686.08, 69,947 and 27,716.38 is: 38,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,686.08 : 69,947 = 27,716.38 : x
  2. Step 2: Convert to fraction form
    50,686.08/69,947 = 27,716.38/x
  3. Step 3: Cross multiply
    50,686.08x = 69,947 × 27,716.38
  4. Step 4: Simplify right side
    50,686.08x = 1,938,677,631.86
  5. Step 5: Solve for x
    x = 1,938,677,631.86/50,686.08
  6. Step 6: Final answer
    x = 38,248.72

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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.