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Finding the Fourth Proportional to 50,645.64, 75,959.70 and 13,701

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Solution

The fourth proportional to 50,645.64, 75,959.70 and 13,701 is: 20,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645.64 : 75,959.70 = 13,701 : x
  2. Step 2: Convert to fraction form
    50,645.64/75,959.70 = 13,701/x
  3. Step 3: Cross multiply
    50,645.64x = 75,959.70 × 13,701
  4. Step 4: Simplify right side
    50,645.64x = 1,040,723,849.70
  5. Step 5: Solve for x
    x = 1,040,723,849.70/50,645.64
  6. Step 6: Final answer
    x = 20,549.13

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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.