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Finding the Fourth Proportional to 50,869, 76,304.04 and 13,933

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Solution

The fourth proportional to 50,869, 76,304.04 and 13,933 is: 20,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,869 : 76,304.04 = 13,933 : x
  2. Step 2: Convert to fraction form
    50,869/76,304.04 = 13,933/x
  3. Step 3: Cross multiply
    50,869x = 76,304.04 × 13,933
  4. Step 4: Simplify right side
    50,869x = 1,063,144,189.32
  5. Step 5: Solve for x
    x = 1,063,144,189.32/50,869
  6. Step 6: Final answer
    x = 20,899.65

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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.